njhigham_nostrings.bib

@article{aabc21,
  author =        {Ahmad Abdelfattah and Hartwig Anzt and Erik G. Boman and
                   Erin Carson and Terry Cojean and Jack Dongarra and
                   Alyson Fox and Mark Gates and Nicholas J. Higham and
                   Xiaoye S. Li and Jennifer Loe and Piotr Luszczek and
                   Srikara Pranesh and Siva Rajamanickam and
                   Tobias Ribizel and Barry F. Smith and
                   Kasia Swirydowicz and Stephen Thomas and
                   Stanimire Tomov and Yaohung M. Tsai and
                   Ulrike Meier Yang},
  journal =       {Int. J. High Perform. Comput. Appl.},
  month =         mar,
  number =        {4},
  pages =         {344-369},
  title =         {A Survey of Numerical Linear Algebra Methods
                   Utilizing Mixed-Precision Arithmetic},
  volume =        {35},
  year =          {2021},
  doi =           {10.1177/10943420211003313},
}

@techreport{aaab21,
  address =       {Livermore, CA, USA},
  author =        {Ahmad Abdelfattah and Hartwig Anzt and Alan Ayala and
                   Erik Boman and Erin Carson and Sebastien Cayrols and
                   Terry Cojean and Jack Dongarra and Rob Falgout and
                   Mark Gates and Thomas Grutzmacher and
                   Nicholas J. Higham and Scott Kruger and Sherry Li and
                   Neil Lindquist and Yang Liu and Jennifer Loe and
                   Pratik Nayak and Daniel Osei-Kuffuor and Sri Pranesh and
                   Sivasankaran Rajamanickam and Tobias Ribizel and
                   Bryce Smith and Kasia Swirydowicz and Stephen Thomas and
                   Stanimire Tomov and Yaohung Tsai and
                   Ichitaro Yamazaki and Urike Yang},
  institution =   {Lawrence Livermore National Laboratory},
  month =         aug,
  number =        {LLNL-TR-825909},
  publisher =     {Office of Scientific and Technical Information
                   ({OSTI})},
  type =          {Technical Report},
  title =         {Advances in Mixed Precision Algorithms: 2021 Edition},
  year =          {2021},
  doi =           {10.2172/1814447},
}

@article{acdg21,
  author =        {Ahmad Abdelfattah and Timothy Costa and Jack Dongarra and
                   Mark Gates and Azzam Haidar and Sven Hammarling and
                   Nicholas J. Higham and Jakub Kurzak and
                   Piotr Luszczek and Stanimire Tomov and
                   Mawussi Zounon},
  journal =       {ACM Trans. Math. Software},
  month =         jun,
  number =        {3},
  pages =         {21:1-21:23},
  title =         {A Set of {Batched Basic Linear Algebra Subprograms}
                   and {LAPACK} Routines},
  volume =        {47},
  year =          {2021},
  doi =           {10.1145/3431921},
}

@article{alhi09,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1639-1657},
  title =         {Computing the {Fr\'echet} Derivative of the Matrix
                   Exponential, with an Application to Condition Number
                   Estimation},
  volume =        {30},
  year =          {2009},
  doi =           {10.1137/080716426},
}

@article{alhi09a,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {970-989},
  title =         {A New Scaling and Squaring Algorithm for the Matrix
                   Exponential},
  volume =        {31},
  year =          {2009},
  doi =           {10.1137/09074721X},
}

@article{alhi10,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham},
  journal =       {Numer. Algorithms},
  number =        {1},
  pages =         {133-148},
  title =         {The Complex Step Approximation to the {Fr\'echet}
                   Derivative of a Matrix Function},
  volume =        {53},
  year =          {2010},
  doi =           {10.1007/s11075-009-9323-y},
}

@article{alhi11,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  number =        {2},
  pages =         {488-511},
  title =         {Computing the Action of the Matrix Exponential, with
                   an Application to Exponential Integrators},
  volume =        {33},
  year =          {2011},
  doi =           {10.1137/100788860},
}

@article{alhi12g,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  number =        {4},
  pages =         {C153-C169},
  title =         {Improved Inverse Scaling and Squaring Algorithms for
                   the Matrix Logarithm},
  volume =        {34},
  year =          {2012},
  doi =           {10.1137/110852553},
}

@article{ahl22,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham and
                   Xiaobo Liu},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         feb,
  number =        {1},
  pages =         {233-256},
  title =         {Arbitrary Precision Algorithms for Computing the
                   Matrix Cosine and its {Fr\'echet} Derivative},
  volume =        {43},
  year =          {2022},
  doi =           {10.1137/21m1441043},
}

@article{ahr13,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham and
                   Samuel D. Relton},
  journal =       {SIAM J. Sci. Comput.},
  number =        {4},
  pages =         {C394-C410},
  title =         {Computing the {Fr{\'e}chet} Derivative of the Matrix
                   Logarithm and Estimating the Condition Number},
  volume =        {35},
  year =          {2013},
  doi =           {10.1137/120885991},
}

@article{ahr15,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham and
                   Samuel D. Relton},
  journal =       {SIAM J. Sci. Comput.},
  number =        {1},
  pages =         {A456-A487},
  title =         {New Algorithms for Computing the Matrix Sine and
                   Cosine Separately or Simultaneously},
  volume =        {37},
  year =          {2015},
  doi =           {10.1137/140973979},
}

@techreport{abhl21,
  address =       {UK},
  author =        {Patrick Amestoy and Alfredo Buttari and
                   Nicholas J. Higham and Jean-Yves L'Excellent and
                   Theo Mary and Bastien Vieubl{\'e}},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         apr,
  note =          {Revised April 2022 and July 2023. To appear in SIAM
                   J. Matrix Anal. Appl.},
  number =        {2021.5},
  pages =         {21},
  type =          {{MIMS EPrint}},
  title =         {Five-Precision {GMRES}-based Iterative Refinement},
  year =          {2021},
  url =           {http://eprints.maths.manchester.ac.uk/2852/},
}

@article{abhl23,
  author =        {Patrick Amestoy and Alfredo Buttari and
                   Nicholas J. Higham and Jean-Yves L'Excellent and
                   Theo Mary and Bastien Vieubl{\'e}},
  journal =       {ACM Trans. Math. Software},
  month =         mar,
  number =        {1},
  pages =         {4:1-4:29},
  title =         {Combining Sparse Approximate Factorizations with
                   Mixed-precision Iterative Refinement},
  volume =        {49},
  year =          {2023},
  doi =           {10.1145/3582493},
}

@article{adfh19,
  author =        {Hartwig Anzt and Jack Dongarra and Goran Flegar and
                   Nicholas J. Higham and Enrique S. Quintana-Ort{\'\i}},
  journal =       {Concurrency Computat. Pract. Exper.},
  number =        {6},
  pages =         {e4460},
  title =         {Adaptive Precision in Block-{Jacobi} Preconditioning
                   for Iterative Sparse Linear System Solvers},
  volume =        {31},
  year =          {2019},
  doi =           {10.1002/cpe.4460},
}

@article{ahh16,
  author =        {Mary Aprahamian and Desmond J. Higham and
                   Nicholas J. Higham},
  journal =       {Journal of Complex Networks},
  number =        {2},
  pages =         {157-176},
  title =         {Matching Exponential-Based and Resolvent-Based
                   Centrality Measures},
  volume =        {4},
  year =          {2016},
  doi =           {10.1093/comnet/cnv016},
}

@article{aphi14,
  author =        {Mary Aprahamian and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {1},
  pages =         {88-109},
  title =         {The Matrix Unwinding Function, with an Application to
                   Computing the Matrix Exponential},
  volume =        {35},
  year =          {2014},
  doi =           {10.1137/130920137},
}

@article{aphi16,
  author =        {Mary Aprahamian and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1453-1477},
  title =         {Matrix Inverse Trigonometric and Inverse Hyperbolic
                   Functions: {Theory} and Algorithms},
  volume =        {37},
  year =          {2016},
  doi =           {10.1137/16M1057577},
}

@techreport{aphi15b,
  address =       {UK},
  author =        {Mary Aprahamian and Nicholas J. Higham},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  note =          {In preparation},
  type =          {{MIMS EPrint}},
  title =         {Argument Reduction for Computing Periodic Functions},
  year =          {2015},
}

@article{amrh16,
  author =        {Wayne Arter and J. Guy Morgan and Samuel D. Relton and
                   Nicholas J. Higham},
  journal =       {Nuclear Science and Engineering},
  month =         dec,
  number =        {4},
  pages =         {561-574},
  title =         {Ranking the Importance of Nuclear Reactions for
                   Activation and Transmutation Events},
  volume =        {184},
  year =          {2016},
  doi =           {10.13182/NSE15-23},
}

@misc{nlevp,
  author =        {Timo Betcke and Nicholas J. Higham and
                   Volker Mehrmann and Christian Schr{\"o}der and
                   Fran\c{c}oise Tisseur},
  note =          {\url{https://github.com/ftisseur/nlevp}},
  title =         {{NLEVP}: {A} Collection of Nonlinear Eigenvalue
                   Problems},
}

@techreport{bhms11,
  address =       {UK},
  author =        {Timo Betcke and Nicholas J. Higham and
                   Volker Mehrmann and Christian Schr{\"o}der and
                   Fran\c{c}oise Tisseur},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         dec,
  number =        {2011.116},
  pages =         {27},
  type =          {{MIMS EPrint}},
  title =         {{NLEVP}: {A} Collection of Nonlinear Eigenvalue
                   Problems},
  year =          {2011},
}

@techreport{bhms11-UG,
  address =       {UK},
  author =        {Timo Betcke and Nicholas J. Higham and
                   Volker Mehrmann and Christian Schr{\"o}der and
                   Fran\c{c}oise Tisseur},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         dec,
  number =        {2011.117},
  pages =         {8},
  type =          {{MIMS EPrint}},
  title =         {{NLEVP}: {A} Collection of Nonlinear Eigenvalue
                   Problems. {Users'} Guide},
  year =          {2011},
}

@article{bhms13,
  author =        {Timo Betcke and Nicholas J. Higham and
                   Volker Mehrmann and Christian Schr{\"o}der and
                   Fran\c{c}oise Tisseur},
  journal =       {ACM Trans. Math. Software},
  month =         feb,
  number =        {2},
  pages =         {7:1-7:28},
  title =         {{NLEVP}: {A} Collection of Nonlinear Eigenvalue
                   Problems},
  volume =        {39},
  year =          {2013},
  doi =           {10.1145/2427023.2427024},
}

@techreport{bbdh11,
  address =       {UK},
  author =        {Iain Bethune and J. Mark Bull and Nicholas J. Dingle and
                   Nicholas J. Higham},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         oct,
  number =        {2011.82},
  pages =         {8},
  type =          {{MIMS EPrint}},
  title =         {Investigating the Performance of Asynchronous
                   {Jacobi}'s Method for Solving Systems of Linear
                   Equations},
  year =          {2011},
  url =           {http://eprints.ma.man.ac.uk/1988/},
}

@article{bbdh14,
  author =        {Iain Bethune and J. Mark Bull and Nicholas J. Dingle and
                   Nicholas J. Higham},
  journal =       {Int. J. High Perform. Comput. Appl.},
  number =        {1},
  pages =         {97-111},
  title =         {Performance Analysis of Asynchronous {Jacobi's}
                   Method Implemented in {MPI}, {SHMEM} and {OpenMP}},
  volume =        {28},
  year =          {2014},
  doi =           {10.1177/1094342013493123},
}

@article{bhm05,
  author =        {Dario A. Bini and Nicholas J. Higham and
                   Beatrice Meini},
  journal =       {Numer. Algorithms},
  number =        {4},
  pages =         {349-378},
  title =         {Algorithms for the Matrix {$p$}th Root},
  volume =        {39},
  year =          {2005},
  doi =           {10.1007/s11075-004-6709-8},
}

@article{bhh20,
  author =        {Pierre Blanchard and Desmond J. Higham and
                   Nicholas J. Higham},
  journal =       {IMA J. Numer. Anal.},
  number =        {4},
  pages =         {2311-2330},
  title =         {Accurately Computing the Log-Sum-Exp and Softmax
                   Functions},
  volume =        {41},
  year =          {2020},
  doi =           {10.1093/imanum/draa038},
}

@article{bhm20,
  author =        {Pierre Blanchard and Nicholas J. Higham and
                   Theo Mary},
  journal =       {SIAM J. Sci. Comput.},
  month =         jan,
  number =        {3},
  pages =         {A1541-A1557},
  title =         {A Class of Fast and Accurate Summation Algorithms},
  volume =        {42},
  year =          {2020},
  doi =           {10.1137/19M1257780},
}

@article{bhlm20,
  author =        {Pierre Blanchard and Nicholas J. Higham and
                   Florent Lopez and Theo Mary and Srikara Pranesh},
  journal =       {SIAM J. Sci. Comput.},
  number =        {3},
  pages =         {C124-C141},
  title =         {Mixed Precision Block Fused Multiply-Add: {Error}
                   Analysis and Application to {GPU} Tensor Cores},
  volume =        {42},
  year =          {2020},
  doi =           {10.1137/19M1289546},
}

@article{bhp03,
  author =        {Adam Bojanczyk and Nicholas J. Higham and
                   Harikrishna Patel},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {914-931},
  title =         {Solving the Indefinite Least Squares Problem by
                   Hyperbolic {QR} Factorization},
  volume =        {24},
  year =          {2003},
  doi =           {10.1137/S0895479802401497},
}

@article{bhp03a,
  author =        {Adam Bojanczyk and Nicholas J. Higham and
                   Harikrishna Patel},
  journal =       {BIT},
  number =        {3},
  pages =         {505-517},
  title =         {The Equality Constrained Indefinite Least Squares
                   Problem: {Theory} and Algorithms},
  volume =        {43},
  year =          {2003},
  doi =           {10.1023/B:BITN.0000007020.58972.07},
}

@article{bohi10,
  author =        {R{\"u}diger Borsdorf and Nicholas J. Higham},
  journal =       {IMA J. Numer. Anal.},
  number =        {1},
  pages =         {94-107},
  title =         {A Preconditioned {Newton} Algorithm for the Nearest
                   Correlation Matrix},
  volume =        {30},
  year =          {2010},
  doi =           {10.1093/imanum/drn085},
}

@article{bhr10,
  author =        {R{\"u}diger Borsdorf and Nicholas J. Higham and
                   Marcos Raydan},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {5},
  pages =         {2603-2622},
  title =         {Computing a Nearest Correlation Matrix with Factor
                   Structure},
  volume =        {31},
  year =          {2010},
  doi =           {10.1137/090776718},
}

@article{brhi96,
  author =        {Thierry Braconnier and Nicholas J. Higham},
  journal =       {BIT},
  number =        {3},
  pages =         {422-440},
  title =         {Computing the Field of Values and Pseudospectra Using
                   the {Lanczos} Method with Continuation},
  volume =        {36},
  year =          {1996},
  doi =           {10.1007/BF01731925},
}

@techreport{bhmv23,
  address =       {UK},
  author =        {Alfredo Buttari and Nicholas J. Higham and Theo Mary and
                   Bastien Vieubl{\'e}},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  note =          {In preparation},
  type =          {{MIMS EPrint}},
  title =         {A Modular Framework for the Backward Error Analysis
                   of {GMRES}},
  year =          {2023},
}

@article{cahi17,
  author =        {Erin Carson and Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  number =        {6},
  pages =         {A2834-A2856},
  title =         {A New Analysis of Iterative Refinement and its
                   Application to Accurate Solution of Ill-Conditioned
                   Sparse Linear Systems},
  volume =        {39},
  year =          {2017},
  doi =           {10.1137/17M1122918},
}

@article{cahi18,
  author =        {Erin Carson and Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  number =        {2},
  pages =         {A817-A847},
  title =         {Accelerating the Solution of Linear Systems by
                   Iterative Refinement in Three Precisions},
  volume =        {40},
  year =          {2018},
  doi =           {10.1137/17M1140819},
}

@article{chp20,
  author =        {Erin Carson and Nicholas J. Higham and
                   Srikara Pranesh},
  journal =       {SIAM J. Sci. Comput.},
  number =        {6},
  pages =         {A4063-A4083},
  title =         {Three-Precision {GMRES}-Based Iterative Refinement
                   for Least Squares Problems},
  volume =        {42},
  year =          {2020},
  doi =           {10.1137/20m1316822},
}

@article{chhi98,
  author =        {Sheung Hun Cheng and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         oct,
  number =        {4},
  pages =         {1097-1110},
  title =         {A Modified {Cholesky} Algorithm Based on a Symmetric
                   Indefinite Factorization},
  volume =        {19},
  year =          {1998},
  doi =           {10.1137/S0895479896302898},
}

@article{chhi99,
  author =        {Sheung Hun Cheng and Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {63-76},
  title =         {The Nearest Definite Pair for the {Hermitian}
                   Generalized Eigenvalue Problem},
  volume =        {302-303},
  year =          {1999},
  doi =           {10.1016/S0024-3795(99)00026-9},
}

@inproceedings{chkl00,
  author =        {Sheung Hun Cheng and Nicholas J. Higham and
                   Charles S. Kenney and Alan J. Laub},
  booktitle =     {Proceedings of the Fourteenth International Symposium
                   of Mathematical Theory of Networks and Systems,
                   Perpignan, France},
  note =          {CD ROM},
  title =         {Return to the Middle Ages: {A} Half-Angle Iteration
                   for the Logarithm of a Unitary Matrix},
  year =          {2000},
}

@article{chkl01,
  author =        {Sheung Hun Cheng and Nicholas J. Higham and
                   Charles S. Kenney and Alan J. Laub},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1112-1125},
  title =         {Approximating the Logarithm of a Matrix to Specified
                   Accuracy},
  volume =        {22},
  year =          {2001},
  doi =           {10.1137/S0895479899364015},
}

@inproceedings{chhi01,
  author =        {Sheung Hun Cheng and Nicholas J. Higham},
  booktitle =     {Euro-Par \textup{2001}, Parallel Processing},
  editor =        {Rizos Sakellariou and John Keane and John Gurd and
                   Len Freeman},
  pages =         {568-577},
  publisher =     {Spring{\-}er-Ver{\-}lag, Berlin, Germany},
  series =        {Lecture Notes in Computer Science},
  title =         {Parallel Implementation of a Block Algorithm for
                   Matrix 1-Norm Estimation},
  volume =        {2150},
  year =          {2001},
}

@techreport{chhi01a,
  address =       {UK},
  author =        {Sheung Hun Cheng and Nicholas J. Higham},
  institution =   {Manchester Centre for Computational Mathematics},
  month =         aug,
  note =          {LAPACK Working Note 152},
  number =        {No. 393},
  pages =         {19},
  type =          {Numerical Analysis Report},
  title =         {Implementation for {LAPACK} of a Block Algorithm for
                   Matrix 1-Norm Estimation},
  year =          {2001},
}

@article{cohi23,
  author =        {Michael P. Connolly and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {1146-1163},
  title =         {Probabilistic Rounding Error Analysis of {Householder
                   QR} Factorization},
  volume =        {44},
  year =          {2023},
  doi =           {10.1137/22M1514817},
}

@techreport{chp22,
  address =       {UK},
  author =        {Michael P. Connolly and Nicholas J. Higham and
                   Srikara Pranesh},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         jul,
  note =          {Revised March 2023},
  number =        {2022.5},
  pages =         {18},
  type =          {{MIMS EPrint}},
  title =         {Randomized Low Rank Matrix Approximation: {Rounding}
                   Error Analysis and a Mixed Precision Algorithm},
  year =          {2022},
  url =           {http://eprints.maths.manchester.ac.uk/2884/},
}

@article{chm21,
  author =        {Michael P. Connolly and Nicholas J. Higham and
                   Theo Mary},
  journal =       {SIAM J. Sci. Comput.},
  month =         jan,
  number =        {1},
  pages =         {A566-A585},
  title =         {Stochastic Rounding and Its Probabilistic Backward
                   Error Analysis},
  volume =        {43},
  year =          {2021},
  doi =           {10.1137/20m1334796},
}

@inproceedings{cdhj07,
  address =       {New York},
  author =        {Robert M. Corless and Hui Ding and Nicholas J. Higham and
                   David J. Jeffrey},
  booktitle =     {{ISSAC} '\textup{07}: Proceedings of the
                   \textup{2007} International Symposium on Symbolic and
                   Algebraic Computation},
  pages =         {116-121},
  publisher =     {ACM Press},
  title =         {The Solution of {$S \exp(S) = A$} is Not Always the
                   {Lambert} {$W$} Function of {$A$}},
  year =          {2007},
  doi =           {10.1145/1277548.1277565},
  isbn =          {978-1-59593-743-8},
}

@article{cht20,
  author =        {Robert M. Corless and Nicholas J. Higham and
                   Steven E. Thornton},
  journal =       {LMS Newsletter},
  month =         nov,
  pages =         {16},
  title =         {Cover Image: {Bohemian} Matrices},
  volume =        {491},
  year =          {2020},
  url =           {https://www.lms.ac.uk/publications/lms-newsletter-back-
                  issues},
}

@inproceedings{cohi98,
  author =        {Anthony J. Cox and Nicholas J. Higham},
  booktitle =     {Numerical Analysis \textup{1997}, Proceedings of the
                   \textup{17}th Dundee Biennial Conference},
  editor =        {D. F. Griffiths and D. J. Higham and G. A. Watson},
  pages =         {57-73},
  publisher =     {Addison Wesley Longman, Harlow, Essex, UK},
  series =        {Pitman Research Notes in Mathematics},
  title =         {Stability of {Householder QR} Factorization for
                   Weighted Least Squares Problems},
  volume =        {380},
  year =          {1998},
}

@article{cohi99r,
  author =        {Anthony J. Cox and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {1},
  pages =         {313-326},
  title =         {Row-Wise Backward Stable Elimination Methods for the
                   Equality Constrained Least Squares Problem},
  volume =        {21},
  year =          {1999},
  doi =           {10.1137/S0895479898335957},
}

@article{cohi99,
  author =        {Anthony J. Cox and Nicholas J. Higham},
  journal =       {BIT},
  number =        {1},
  pages =         {34-50},
  title =         {Accuracy and Stability of the Null Space Method for
                   Solving the Equality Constrained Least Squares
                   Problem},
  volume =        {39},
  year =          {1999},
  doi =           {10.1023/A:1022365107361},
}

@article{cfhm22,
  author =        {Matteo Croci and Massimiliano Fasi and
                   Nicholas J. Higham and Theo Mary and Mantas Mikaitis},
  journal =       {Roy. Soc. Open Sci.},
  number =        {3},
  pages =         {1-25},
  title =         {Stochastic Rounding: {Implementation}, Error Analysis
                   and Applications},
  volume =        {9},
  year =          {2022},
  doi =           {10.1098/rsos.211631},
}

@article{cohi99c,
  author =        {Anthony J. Cox and Nicholas J. Higham},
  journal =       {BIT},
  number =        {2},
  pages =         {210-227},
  title =         {Backward Error Bounds for Constrained Least Squares
                   Problems},
  volume =        {39},
  year =          {1999},
  doi =           {10.1023/A:1022385611904},
}

@techreport{dahi99j,
  address =       {UK},
  author =        {Philip I. Davies and Nicholas J. Higham},
  institution =   {Manchester Centre for Computational Mathematics},
  month =         jan,
  number =        {No. 338},
  pages =         {13},
  type =          {Numerical Analysis Report},
  title =         {Generating Test Matrices for the One- and Two-Sided
                   {Jacobi} Methods},
  year =          {1999},
}

@article{dahi00,
  author =        {Philip I. Davies and Nicholas J. Higham},
  journal =       {BIT},
  number =        {4},
  pages =         {640-651},
  title =         {Numerically Stable Generation of Correlation Matrices
                   and their Factors},
  volume =        {40},
  year =          {2000},
  doi =           {10.1023/A:1022384216930},
}

@article{dahi03,
  author =        {Philip I. Davies and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {2},
  pages =         {464-485},
  title =         {A {Schur--Parlett} Algorithm for Computing Matrix
                   Functions},
  volume =        {25},
  year =          {2003},
  doi =           {10.1137/S0895479802410815},
}

@inproceedings{dahi05,
  author =        {Philip I. Davies and Nicholas J. Higham},
  booktitle =     {{QCD} and Numerical Analysis {III}},
  editor =        {Artan Bori{\c{c}}i and Andreas Frommer and
                   B{\'a}alint Jo{\'o} and Anthony Kennedy and
                   Brian Pendleton},
  pages =         {15-24},
  publisher =     {Spring{\-}er-Ver{\-}lag, Berlin, Germany},
  series =        {Lecture Notes in Computational Science and
                   Engineering},
  title =         {Computing {$f(A)b$} for Matrix Functions {$f$}},
  volume =        {47},
  year =          {2005},
}

@article{dht01,
  author =        {Philip I. Davies and Nicholas J. Higham and
                   Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {2},
  pages =         {472-493},
  title =         {Analysis of the {Cholesky} Method with Iterative
                   Refinement for Solving the Symmetric Definite
                   Generalized Eigenproblem},
  volume =        {23},
  year =          {2001},
  doi =           {10.1137/S0895479800373498},
}

@inproceedings{dhr13,
  author =        {Edvin Deadman and Nicholas J. Higham and Rui Ralha},
  booktitle =     {Applied Parallel and Scientific Computing: 11th
                   International Conference, {PARA 2012, Helsinki,
                   Finland}},
  editor =        {P. Manninen and P. {\"O}ster},
  pages =         {171-182},
  publisher =     {Spring{\-}er-Ver{\-}lag, Berlin, Germany},
  series =        {Lecture Notes in Computer Science},
  title =         {Blocked {Schur} Algorithms for Computing the Matrix
                   Square Root},
  volume =        {7782},
  year =          {2013},
  doi =           {10.1007/978-3-642-36803-5_12},
}

@misc{dehi14a,
  author =        {Edvin Deadman and Nicholas J. Higham},
  howpublished =
  {\url{http://blog.nag.com/2014/04/testing-matrix-function-algorithms.html}},
  title =         {Testing Matrix Function Algorithms Using Identities},
  year =          {2014},
}

@article{dehi16,
  author =        {Edvin Deadman and Nicholas J. Higham},
  journal =       {ACM Trans. Math. Software},
  month =         jan,
  number =        {1},
  pages =         {4:1--4:15},
  title =         {Testing Matrix Function Algorithms Using Identities},
  volume =        {42},
  year =          {2016},
  doi =           {10.1145/2723157},
}

@article{dehi92,
  author =        {James W. Demmel and Nicholas J. Higham},
  journal =       {ACM Trans. Math. Software},
  month =         sep,
  number =        {3},
  pages =         {274-291},
  title =         {Stability of Block Algorithms with Fast Level-3
                   {BLAS}},
  volume =        {18},
  year =          {1992},
  doi =           {10.1145/131766.131769},
}

@article{dehi93,
  author =        {James W. Demmel and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         jan,
  number =        {1},
  pages =         {1-14},
  title =         {Improved Error Bounds for Underdetermined System
                   Solvers},
  volume =        {14},
  year =          {1993},
  doi =           {10.1137/0614001},
}

@article{dhs95,
  author =        {James W. Demmel and Nicholas J. Higham and
                   Robert S. Schreiber},
  journal =       {Numer. Linear Algebra Appl.},
  number =        {2},
  pages =         {173-190},
  title =         {Stability of Block {$LU$} Factorization},
  volume =        {2},
  year =          {1995},
  doi =           {10.1002/nla.1680020208},
}

@article{dihi13,
  author =        {Nicholas J. Dingle and Nicholas J. Higham},
  journal =       {ACM Trans. Math. Software},
  number =        {4},
  pages =         {24:1-24:11},
  title =         {Reducing the Influence of Tiny Normwise Relative
                   Errors on Performance Profiles},
  volume =        {39},
  year =          {2013},
  doi =           {10.1145/2491491.2491494},
}

@techreport{ddgh16,
  address =       {UK},
  author =        {Jack Dongarra and Iain Duff and Mark Gates and
                   Azzam Haidar and Sven Hammarling and
                   Nicholas J. Higham and Jonathon Hogg and
                   Pedro Valero-Lara and Samuel D. Relton and
                   Stanimire Tomov and Mawussi Zounon},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         apr,
  number =        {2016.25},
  pages =         {20},
  type =          {{MIMS EPrint}},
  title =         {A Proposed {API} for {Batched Basic Linear Algebra
                   Subprograms}},
  year =          {2016},
  url =           {http://eprints.ma.man.ac.uk/2464/},
}

@article{dgh20,
  author =        {Jack Dongarra and Laura Grigori and
                   Nicholas J. Higham},
  journal =       {Phil. Trans. R. Soc. A},
  number =        {2166},
  pages =         {1-18},
  title =         {Numerical Algorithms for High-Performance
                   Computational Science},
  volume =        {378},
  year =          {2020},
  doi =           {10.1098/rsta.2019.0066},
}

@inproceedings{dhhr16,
  author =        {Jack Dongarra and Sven Hammarling and
                   Nicholas J. Higham and Samuel D. Relton and
                   Pedro Valero-Lara and Mawussi Zounon},
  booktitle =     {Proceedings of the Fourth Workshop on Sustainable
                   Software for Science: Practice and Experiences
                   (WSSSPE4)},
  editor =        {Gabrielle Allen and Jeffrey Carver and
                   Sou-Cheng T. Choi and others},
  publisher =     {CEUR Workshop Proceedings},
  title =         {Creating a Standardised Set of Batched {BLAS}
                   Routines},
  volume =        {1686},
  year =          {2016},
  url =           {http://ceur-ws.org/Vol-1686/WSSSPE4_paper_3.pdf},
}

@article{dhhr17,
  author =        {Jack Dongarra and Sven Hammarling and
                   Nicholas J. Higham and Samuel D. Relton and
                   Pedro Valero-Lara and Mawussi Zounon},
  journal =       {Procedia Computer Science},
  pages =         {495-504},
  title =         {The Design and Performance of Batched {BLAS} on
                   Modern High-Performance Computing Systems},
  volume =        {108},
  year =          {2017},
  doi =           {10.1016/j.procs.2017.05.138},
}

@inproceedings{dhhr17a,
  author =        {Jack Dongarra and Sven Hammarling and
                   Nicholas J. Higham and Samuel D. Relton and
                   Mawussi Zounon},
  booktitle =     {Euro-Par 2017: Parallel Processing},
  editor =        {Rivera, Francisco F. and Pena, Tom{\'a}s F. and
                   Cabaleiro, Jos{\'e} C.},
  pages =         {511-522},
  publisher =     {Spring{\-}er-Ver{\-}lag, Cham, Switzerland},
  series =        {Lecture Notes in Computer Science},
  title =         {Optimized Batched Linear Algebra for Modern
                   Architectures},
  volume =        {10417},
  year =          {2017},
  doi =           {10.1007/978-3-319-64203-1_37},
  isbn =          {978-3-319-64203-1},
}

@article{duhi92,
  author =        {Du Croz, Jeremy J. and Nicholas J. Higham},
  journal =       {IMA J. Numer. Anal.},
  pages =         {1-19},
  title =         {Stability of Methods for Matrix Inversion},
  volume =        {12},
  year =          {1992},
  doi =           {10.1093/imanum/12.1.1},
}

@article{fahi18,
  author =        {Massimiliano Fasi and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {1},
  pages =         {472-491},
  title =         {Multiprecision Algorithms for Computing the Matrix
                   Logarithm},
  volume =        {39},
  year =          {2018},
  doi =           {10.1137/17M1129866},
}

@article{fahi19,
  author =        {Massimiliano Fasi and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1233-1256},
  title =         {An Arbitrary Precision Scaling and Squaring Algorithm
                   for the Matrix Exponential},
  volume =        {40},
  year =          {2019},
  doi =           {10.1137/18M1228876},
}

@article{fahi21a,
  author =        {Massimiliano Fasi and Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  number =        {1},
  pages =         {A663-A684},
  title =         {Generating Extreme-Scale Matrices with Specified
                   Singular Values or Condition Numbers},
  volume =        {43},
  year =          {2021},
  doi =           {10.1137/20M1327938},
}

@article{fahi21b,
  author =        {Massimiliano Fasi and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         jan,
  number =        {1},
  pages =         {417-435},
  title =         {Matrices with Tunable Infinity-Norm Condition Number
                   and No Need for Pivoting in {LU} Factorization},
  volume =        {42},
  year =          {2021},
  doi =           {10.1137/20m1357238},
}

@article{fhi15,
  author =        {Massimiliano Fasi and Nicholas J. Higham and
                   Bruno Iannazzo},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {2},
  pages =         {669-685},
  title =         {An Algorithm for the Matrix {Lambert $W$} Function},
  volume =        {36},
  year =          {2015},
  doi =           {10.1137/140997610},
}

@article{fhmp21,
  author =        {Massimiliano Fasi and Nicholas J. Higham and
                   Mantas Mikaitis and Srikara Pranesh},
  journal =       {PeerJ Comput. Sci.},
  month =         feb,
  pages =         {e330(1-19)},
  title =         {Numerical Behavior of {NVIDIA} Tensor Cores},
  volume =        {7},
  year =          {2021},
  doi =           {10.7717/peerj-cs.330},
}

@article{fhl23,
  author =        {Massimiliano Fasi and Nicholas J. Higham and
                   Xiaobo Liu},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {1},
  pages =         {156-174},
  title =         {Computing the Square Root of a Low-Rank Perturbation
                   of the Scaled Identity Matrix},
  volume =        {44},
  year =          {2023},
  doi =           {10.1137/22M1471559},
}

@article{fhlm23,
  author =        {Massimiliano Fasi and Nicholas J. Higham and
                   Florent Lopez and Theo Mary and Mantas Mikaitis},
  journal =       {SIAM J. Sci. Comput.},
  month =         feb,
  number =        {1},
  pages =         {C1-C19},
  title =         {Matrix Multiplication in Multiword Arithmetic:
                   {Error} Analysis and Application to {GPU} Tensor
                   Cores},
  volume =        {45},
  year =          {2023},
  doi =           {10.1137/21m1465032},
}

@article{geor20,
  author =        {Dan I. Georgescu},
  journal =       {The Actuary},
  month =         jun,
  note =          {Also at
  \url{https://www.theactuary.com/archive/2020/2020/06/03/june-2020-digital-issue}},
  pages =         {12-14},
  title =         {Professor {Nick Higham: Northern} Light},
  volume =        {},
  year =          {2020},
  url =           {https://www.theactuary.com/features/2020/06/04/professor-
                  nick-higham-northern-light},
}

@misc{gehi18,
  author =        {Dan I. Georgescu and Nicholas J. Higham},
  howpublished =
  {\url{https://bankunderground.co.uk/2018/02/01/completing-correlation-matrices/}},
  month =         feb,
  title =         {Completing Correlation Matrices},
  year =          {2018},
}

@article{gehi20,
  author =        {Dan I. Georgescu and Nicholas J. Higham},
  journal =       {The Actuary},
  month =         nov,
  note =          {Also at
  \url{https://www.theactuary.com/issues/2020/11/november-2020}},
  pages =         {24-27},
  title =         {Completing the Matrix},
  volume =        {},
  year =          {2020},
  url =           {https://www.theactuary.com/features/2020/11/04/completing-
                  matrix},
}

@article{ghp18,
  author =        {Dan I. Georgescu and Nicholas J. Higham and
                   Gareth W. Peters},
  journal =       {Roy. Soc. Open Sci.},
  number =        {3},
  pages =         {1-11},
  title =         {Explicit Solutions to Correlation Matrix Completion
                   Problems, with an Application to Risk Management and
                   Insurance},
  volume =        {5},
  year =          {2018},
  doi =           {10.1098/rsos.172348},
}

@article{ght11,
  author =        {Laurence Grammont and Nicholas J. Higham and
                   Fran\c{c}oise Tisseur},
  journal =       {Linear Algebra Appl.},
  number =        {3},
  pages =         {623-640},
  title =         {A Framework for Analyzing Nonlinear Eigenproblems and
                   Parametrized Linear Systems},
  volume =        {435},
  year =          {2011},
  doi =           {10.1016/j.laa.2009.12.038},
}

@article{guhi06p,
  author =        {Chun-Hua Guo and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {788-804},
  title =         {A {Schur--Newton} Method for the Matrix {$p$th} Root
                   and its Inverse},
  volume =        {28},
  year =          {2006},
  doi =           {10.1137/050643374},
}

@article{guhi07,
  author =        {Chun-Hua Guo and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {2},
  pages =         {396-412},
  title =         {Iterative Solution of a Nonsymmetric Algebraic
                   {Riccati} Equation},
  volume =        {29},
  year =          {2007},
  doi =           {10.1137/050647669},
}

@article{ght09,
  author =        {Chun-Hua Guo and Nicholas J. Higham and
                   Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1593-1613},
  title =         {Detecting and Solving Hyperbolic Quadratic Eigenvalue
                   Problems},
  volume =        {30},
  year =          {2009},
  doi =           {10.1137/070704058},
}

@article{ght09a,
  author =        {Chun-Hua Guo and Nicholas J. Higham and
                   Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {1131-1151},
  title =         {An Improved Arc Algorithm for Detecting Definite
                   {Hermitian} Pairs},
  volume =        {31},
  year =          {2009},
  doi =           {10.1137/08074218X},
}

@article{hbtd20,
  author =        {Azzam Haidar and Harun Bayraktar and Stanimire Tomov and
                   Jack Dongarra and Nicholas J. Higham},
  journal =       {Proc. Roy. Soc. London A},
  number =        {2243},
  pages =         {20200110},
  title =         {Mixed-Precision Iterative Refinement Using Tensor
                   Cores on {GPUs} to Accelerate Solution of Linear
                   Systems},
  volume =        {476},
  year =          {2020},
  doi =           {10.1098/rspa.2020.0110},
}

@inproceedings{htdh18,
  address =       {Piscataway, NJ, USA},
  author =        {Azzam Haidar and Stanimire Tomov and Jack Dongarra and
                   Nicholas J. Higham},
  booktitle =     {Proceedings of the International Conference for High
                   Performance Computing, Networking, Storage, and
                   Analysis},
  pages =         {47:1-47:11},
  publisher =     {IEEE},
  series =        {SC18 (Dallas, TX)},
  title =         {Harnessing {GPU} Tensor Cores for Fast {FP16}
                   Arithmetic to Speed up Mixed-Precision Iterative
                   Refinement Solvers},
  year =          {2018},
  doi =           {10.1109/SC.2018.00050},
}

@article{hht08,
  author =        {Nicholas Hale and Nicholas J. Higham and
                   Lloyd N. Trefethen},
  journal =       {SIAM J. Numer. Anal.},
  number =        {5},
  pages =         {2505-2523},
  title =         {Computing {$A^\alpha$}, {$\log(A)$}, and Related
                   Matrix Functions by Contour Integrals},
  volume =        {46},
  year =          {2008},
  doi =           {10.1137/070700607},
}

@article{hahi19a,
  author =        {Sven J. Hammarling and Nicholas J. Higham},
  journal =       {Mathematics Today},
  month =         sep,
  number =        {4},
  pages =         {131},
  title =         {Celebrating {James Hardy Wilkinson}},
  volume =        {55},
  year =          {2019},
}

@article{hahi22,
  author =        {Sven Hammarling and Nicholas J. Higham},
  journal =       {Computing in Science and Engineering},
  month =         jul,
  number =        {4},
  pages =         {6-11},
  title =         {The Influence and Contribution of {Jack Dongarra} to
                   Numerical Linear Algebra},
  volume =        {24},
  year =          {2022},
  doi =           {10.1109/mcse.2022.3198330},
}

@inproceedings{hhl07,
  author =        {Sven Hammarling and Nicholas J. Higham and
                   Craig Lucas},
  booktitle =     {Applied Parallel Computing. State of the Art in
                   Scientific Computing. 8th International Workshop,
                   PARA 2006},
  editor =        {Bo K{\aa}gstr{\"o}m and Erik Elmroth and
                   Jack Dongarra and Jerzy Wa{\'s}niewski},
  number =        {4699},
  pages =         {137-146},
  publisher =     {Spring{\-}er-Ver{\-}lag, Berlin, Germany},
  series =        {Lecture Notes in Computer Science},
  title =         {{LAPACK}-Style Codes for Pivoted {Cholesky} and {QR}
                   Updating},
  year =          {2007},
  doi =           {10.1007/978-3-540-75755-9_17},
}

@article{hahi05c,
  author =        {Gareth I. Hargreaves and Nicholas J. Higham},
  journal =       {Numer. Algorithms},
  number =        {4},
  pages =         {383-400},
  title =         {Efficient Algorithms for the Matrix Cosine and Sine},
  volume =        {40},
  year =          {2005},
  doi =           {10.1007/s11075-005-8141-0},
}

@article{hihi92,
  author =        {Desmond J. Higham and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         jan,
  number =        {1},
  pages =         {162-175},
  title =         {Backward Error and Condition of Structured Linear
                   Systems},
  volume =        {13},
  year =          {1992},
  doi =           {10.1137/0613014},
}

@article{hihi92a,
  author =        {Desmond J. Higham and Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {111-129},
  title =         {Componentwise Perturbation Theory for Linear Systems
                   with Multiple Right-Hand Sides},
  volume =        {174},
  year =          {1992},
  doi =           {10.1016/0024-3795(92)90046-D},
}

@article{hihi98,
  author =        {Desmond J. Higham and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {2},
  pages =         {493-512},
  title =         {Structured Backward Error and Condition of
                   Generalized Eigenvalue Problems},
  volume =        {20},
  year =          {1998},
  doi =           {10.1137/S0895479896313188},
}

@book{hihi:MG,
  address =       {Philadelphia, PA, USA},
  author =        {Desmond J. Higham and Nicholas J. Higham},
  pages =         {xxii+283},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {{MATLAB} Guide},
  year =          {2000},
  isbn =          {0-89871-516-4},
}

@book{hihi:MG2,
  address =       {Philadelphia, PA, USA},
  author =        {Desmond J. Higham and Nicholas J. Higham},
  edition =       {Second},
  pages =         {xxiii+382},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {{MATLAB} Guide},
  year =          {2005},
  doi =           {10.1137/1.9780898717891},
  isbn =          {0-89871-578-4},
}

@book{hihi:MG3,
  address =       {Philadelphia, PA, USA},
  author =        {Desmond J. Higham and Nicholas J. Higham},
  edition =       {Third},
  pages =         {xxvi+476},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {{MATLAB} Guide},
  year =          {2017},
  doi =           {10.1137/1.9781611974669},
  isbn =          {978-1-61197-465-2},
}

@book{hihi:MG2-K,
  address =       {Koea},
  author =        {Desmond J. Higham and Nicholas J. Higham},
  edition =       {Second},
  note =          {Korean edition of \cite{hihi:MG2}},
  pages =         {450},
  publisher =     {A-Jin Publishing Company},
  title =         {{MATLAB} Guide},
  year =          {2006},
  isbn =          {89-5761-168-1},
}

@article{hhp21,
  author =        {Desmond J. Higham and Nicholas J. Higham and
                   Srikara Pranesh},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {1},
  pages =         {185-201},
  title =         {Random Matrices Generating Large Growth in {LU}
                   Factorization with Pivoting},
  volume =        {42},
  year =          {2021},
  doi =           {10.1137/20M1338149},
}

@mastersthesis{high83m,
  address =       {Manchester, England},
  author =        {N. J. Higham},
  month =         oct,
  pages =         {iv+86},
  school =        {University of Manchester},
  type =          {{M.Sc.} {Thesis}},
  title =         {Matrix Condition Numbers},
  year =          {1983},
  url =           {http://eprints.ma.man.ac.uk/2499/},
}

@phdthesis{high85p,
  address =       {Manchester, England},
  author =        {Nicholas J. Higham},
  month =         jul,
  pages =         {173},
  school =        {University of Manchester},
  title =         {Nearness Problems in Numerical Linear Algebra},
  year =          {1985},
  url =           {http://eprints.ma.man.ac.uk/2555/},
}

@techreport{high85b,
  address =       {Manchester, M13 9PL, UK},
  author =        {Nicholas J. Higham},
  institution =   {Department of Mathematics, University of Manchester},
  month =         jun,
  note =          {Reissued as MIMS EPrint 2013.51, Manchester Institute
                   for Mathematical Sciences, The University of
                   Manchester, UK, October 2013},
  number =        {No. 101},
  pages =         {62},
  type =          {Numerical Analysis Report},
  title =         {Matrix Computations in {Basic} on a Microcomputer},
  year =          {1985},
  url =           {http://eprints.ma.man.ac.uk/2029/},
}

@article{high86b,
  author =        {Nicholas J. Higham},
  journal =       {IMA Bulletin},
  number =        {1/2},
  pages =         {13-20},
  title =         {Matrix Computations in {Basic} on a Microcomputer},
  volume =        {22},
  year =          {1986},
}

@article{high86n,
  author =        {Nicholas J. Higham},
  journal =       {Math. Comp.},
  month =         apr,
  number =        {174},
  pages =         {537-549},
  title =         {{Newton's} Method for the Matrix Square Root},
  volume =        {46},
  year =          {1986},
  doi =           {10.1090/S0025-5718-1986-0829624-5},
}

@article{high86p,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Sci. Statist. Comput.},
  month =         oct,
  number =        {4},
  pages =         {1160-1174},
  title =         {Computing the Polar Decomposition---with
                   Applications},
  volume =        {7},
  year =          {1986},
  doi =           {10.1137/0907079},
}

@article{high86t,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Sci. Statist. Comput.},
  number =        {1},
  pages =         {150-165},
  title =         {Efficient Algorithms for Computing the Condition
                   Number of a Tridiagonal Matrix},
  volume =        {7},
  year =          {1986},
  doi =           {10.1137/0907011},
}

@article{high87s,
  author =        {Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {405-430},
  title =         {Computing Real Square Roots of a Real Matrix},
  volume =        {88/89},
  year =          {1987},
  doi =           {10.1016/0024-3795(87)90118-2},
}

@article{high87t,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         dec,
  number =        {4},
  pages =         {575-596},
  title =         {A Survey of Condition Number Estimation for
                   Triangular Matrices},
  volume =        {29},
  year =          {1987},
  doi =           {10.1137/1029112},
}

@article{high87v,
  author =        {Nicholas J. Higham},
  journal =       {Numer. Math.},
  number =        {5},
  pages =         {613-632},
  title =         {Error Analysis of the {Bj\"orck}-{Pereyra} Algorithms
                   for Solving {Vandermonde} Systems},
  volume =        {50},
  year =          {1987},
  doi =           {10.1007/BF01408579},
}

@article{high88d,
  author =        {Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {103-118},
  title =         {Computing a Nearest Symmetric Positive Semidefinite
                   Matrix},
  volume =        {103},
  year =          {1988},
  doi =           {10.1016/0024-3795(88)90223-6},
}

@article{high88f,
  author =        {Nicholas J. Higham},
  journal =       {ACM Trans. Math. Software},
  month =         dec,
  number =        {4},
  pages =         {381-396},
  title =         {{FORTRAN} Codes for Estimating the One-norm of a Real
                   or Complex Matrix, with Applications to Condition
                   Estimation ({Algorithm} 674)},
  volume =        {14},
  year =          {1988},
  doi =           {10.1145/63522.214391},
}

@article{high88s,
  author =        {Nicholas J. Higham},
  journal =       {BIT},
  pages =         {133-143},
  title =         {The Symmetric {Procrustes} Problem},
  volume =        {28},
  year =          {1988},
  doi =           {10.1007/BF01934701},
}

@article{high88v,
  author =        {Nicholas J. Higham},
  journal =       {IMA J. Numer. Anal.},
  pages =         {473-486},
  title =         {Fast Solution of {Vandermonde}-like Systems Involving
                   Orthogonal Polynomials},
  volume =        {8},
  year =          {1988},
  doi =           {10.1093/imanum/8.4.473},
}

@inproceedings{high89n,
  author =        {Nicholas J. Higham},
  booktitle =     {Applications of Matrix Theory},
  editor =        {M. J. C. Gover and S. Barnett},
  pages =         {1-27},
  publisher =     {Oxford University Press},
  title =         {Matrix Nearness Problems and Applications},
  year =          {1989},
}

@article{high89t,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Numer. Anal.},
  month =         oct,
  number =        {5},
  pages =         {1252-1265},
  title =         {The Accuracy of Solutions to Triangular Systems},
  volume =        {26},
  year =          {1989},
  doi =           {10.1137/0726070},
}

@inproceedings{high90c,
  author =        {Nicholas J. Higham},
  booktitle =     {Reliable Numerical Computation},
  editor =        {M. G. Cox and S. J. Hammarling},
  pages =         {161-185},
  publisher =     {Oxford University Press},
  title =         {Analysis of the {Cholesky} Decomposition of a
                   Semi-definite Matrix},
  year =          {1990},
}

@article{high90e,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Sci. Statist. Comput.},
  month =         jul,
  number =        {4},
  pages =         {804-809},
  title =         {Experience with a Matrix Norm Estimator},
  volume =        {11},
  year =          {1990},
  doi =           {10.1137/0911047},
}

@inproceedings{high90g,
  author =        {Nicholas J. Higham},
  booktitle =     {Numerical Analysis \textup{1989}, Proceedings of the
                   \textup{13}th Dundee Conference},
  editor =        {D. F. Griffiths and G. A. Watson},
  pages =         {137-154},
  publisher =     {Longman Scientific and Technical, Essex, UK},
  series =        {Pitman Research Notes in Mathematics},
  title =         {How Accurate is {Gaussian} Elimination?},
  volume =        {228},
  year =          {1990},
}

@inproceedings{high90r,
  author =        {Nicholas J. Higham},
  booktitle =     {Statistical Analysis of Measurement Error Models and
                   Applications, Contemporary Mathematics 112},
  editor =        {Philip J. Brown and Wayne A. Fuller},
  pages =         {195-208},
  publisher =     {American Mathematical Society, Providence, RI, USA},
  title =         {Computing Error Bounds for Regression Problems},
  year =          {1990},
}

@article{high90s,
  author =        {Nicholas J. Higham},
  journal =       {ACM Trans. Math. Software},
  month =         dec,
  number =        {4},
  pages =         {352-368},
  title =         {Exploiting Fast Matrix Multiplication within the
                   Level 3 {BLAS}},
  volume =        {16},
  year =          {1990},
  doi =           {10.1145/98267.98290},
}

@article{high90t,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         oct,
  number =        {4},
  pages =         {521-530},
  title =         {Bounding the Error in {Gaussian} Elimination for
                   Tridiagonal Systems},
  volume =        {11},
  year =          {1990},
  doi =           {10.1137/0611036},
}

@article{high90v,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         jan,
  number =        {1},
  pages =         {23-41},
  title =         {Stability Analysis of Algorithms for Solving
                   Confluent {Vandermonde}-like Systems},
  volume =        {11},
  year =          {1990},
  doi =           {10.1137/0611002},
}

@article{high91i,
  author =        {Nicholas J. Higham},
  journal =       {BIT},
  pages =         {447-468},
  title =         {Iterative Refinement Enhances the Stability of {$QR$}
                   Factorization Methods for Solving Linear Equations},
  volume =        {31},
  year =          {1991},
  doi =           {10.1007/BF01933262},
}

@article{high91m,
  author =        {Nicholas J. Higham},
  journal =       {ACM Trans. Math. Software},
  month =         sep,
  number =        {3},
  pages =         {289-305},
  title =         {Algorithm {$694$}: {A} Collection of Test Matrices in
                   {MATLAB}},
  volume =        {17},
  year =          {1991},
  doi =           {10.1145/114697.116805},
}

@incollection{high91l,
  address =       {London},
  author =        {Nicholas J. Higham},
  booktitle =     {New Applications of Mathematics},
  editor =        {Christine Bondi},
  pages =         {33-56},
  publisher =     {Penguin},
  title =         {Solving Linear Equations},
  year =          {1991},
}

@article{high92x,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         jul,
  number =        {3},
  pages =         {681-687},
  title =         {Stability of a Method for Multiplying Complex
                   Matrices with Three Real Matrix Multiplications},
  volume =        {13},
  year =          {1992},
  doi =           {10.1137/0613043},
}

@article{high92e,
  author =        {Nicholas J. Higham},
  journal =       {Numer. Math.},
  pages =         {539-555},
  title =         {Estimating the Matrix {$p$}-Norm},
  volume =        {62},
  year =          {1992},
  doi =           {10.1007/BF01396242},
}

@article{high93d,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         apr,
  number =        {2},
  pages =         {317-333},
  title =         {Optimization by Direct Search in Matrix Computations},
  volume =        {14},
  year =          {1993},
  doi =           {10.1137/0614023},
}

@article{high93s,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  month =         jul,
  number =        {4},
  pages =         {783-799},
  title =         {The Accuracy of Floating Point Summation},
  volume =        {14},
  year =          {1993},
  doi =           {10.1137/0914050},
}

@article{high93y,
  author =        {Nicholas J. Higham},
  journal =       {BIT},
  pages =         {124-136},
  title =         {Perturbation Theory and Backward Error for
                   {$AX-XB=C$}},
  volume =        {33},
  year =          {1993},
  doi =           {10.1007/978-94-015-8196-7_39},
}

@inproceedings{high94c,
  author =        {Nicholas J. Higham},
  booktitle =     {{Mathematics of Computation} \textup{1943--1993}: {A}
                   Half Century of Computational Mathematics},
  editor =        {Walter Gautschi},
  pages =         {49-77},
  publisher =     {American Mathematical Society, Providence, RI, USA},
  series =        {Proceedings of Symposia in Applied Mathematics},
  title =         {A Survey of Componentwise Perturbation Theory in
                   Numerical Linear Algebra},
  volume =        {48},
  year =          {1994},
}

@article{high94p,
  author =        {Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {3-20},
  title =         {The Matrix Sign Decomposition and Its Relation to the
                   Polar Decomposition},
  volume =        {212/213},
  year =          {1994},
  doi =           {10.1016/0024-3795(94)90393-X},
}

@article{high95t,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  month =         mar,
  number =        {2},
  pages =         {400-413},
  title =         {Stability of Parallel Triangular System Solvers},
  volume =        {16},
  year =          {1995},
  doi =           {10.1137/0916025},
}

@book{high:ASNA,
  address =       {Philadelphia, PA, USA},
  author =        {Nicholas J. Higham},
  pages =         {xxviii+688},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {Accuracy and Stability of Numerical Algorithms},
  year =          {1996},
  isbn =          {0-89871-355-2},
}

@book{high:ASNA1,
  address =       {Philadelphia, PA, USA},
  author =        {Nicholas J. Higham},
  pages =         {xxviii+688},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {Accuracy and Stability of Numerical Algorithms},
  year =          {1996},
  isbn =          {0-89871-355-2},
}

@book{high:ASNA2,
  address =       {Philadelphia, PA, USA},
  author =        {Nicholas J. Higham},
  edition =       {Second},
  pages =         {xxx+680},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {Accuracy and Stability of Numerical Algorithms},
  year =          {2002},
  doi =           {10.1137/1.9780898718027},
  isbn =          {0-89871-521-0},
}

@article{high97i,
  author =        {Nicholas J. Higham},
  journal =       {IMA J. Numer. Anal.},
  number =        {4},
  pages =         {495-509},
  title =         {Iterative Refinement for Linear Systems and {LAPACK}},
  volume =        {17},
  year =          {1997},
  doi =           {10.1093/imanum/17.4.495},
}

@incollection{high98l,
  author =        {Nicholas J. Higham},
  booktitle =     {Cornelius Lanczos Collected Published Papers with
                   Commentaries},
  editor =        {Davis, William R. and others},
  pages =         {3:557-3:559},
  publisher =     {North Carolina State University, Raleigh, NC
                   27695-8202, USA},
  title =         {{Commentary on Lanczos's `{``Introduction'' to the
                   ``Tables of Chebyshev Polynomials $S_n(x)$ and
                   $C_n(x)$''}'}},
  volume =        {VI},
  year =          {1998},
}

@inproceedings{high97r,
  author =        {Nicholas J. Higham},
  booktitle =     {The State of the Art in Numerical Analysis},
  editor =        {I. S. Duff and G. A. Watson},
  pages =         {1-26},
  publisher =     {Oxford University Press},
  title =         {Recent Developments in Dense Numerical Linear
                   Algebra},
  year =          {1997},
}

@inproceedings{high97t,
  author =        {Nicholas J. Higham},
  booktitle =     {Quality of Numerical Software: {Assessment} and
                   Enhancement},
  editor =        {Ronald F. Boisvert},
  pages =         {109-122},
  publisher =     {Chapman and Hall, London},
  title =         {Testing Linear Algebra Software},
  year =          {1997},
}

@article{high97d,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         jan,
  number =        {1},
  pages =         {52-65},
  title =         {Stability of the Diagonal Pivoting Method with
                   Partial Pivoting},
  volume =        {18},
  year =          {1997},
  doi =           {10.1137/S0895479895290371},
}

@article{high97s,
  author =        {Nicholas J. Higham},
  journal =       {Numer. Algorithms},
  number =        {2},
  pages =         {227-242},
  title =         {Stable Iterations for the Matrix Square Root},
  volume =        {15},
  year =          {1997},
  doi =           {10.1023/A:1019150005407},
}

@book{high:HWMS1,
  address =       {Philadelphia, PA, USA},
  author =        {Nicholas J. Higham},
  pages =         {xii+241},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {Handbook of Writing for the Mathematical Sciences},
  year =          {1993},
  isbn =          {0-89871-314-5},
}

@book{high:HWMS1-J,
  address =       {Tokyo},
  author =        {Nicholas J. Higham},
  note =          {Japanese edition of \cite{high:HWMS1}, translated by
                   Shoji Okumura and Takemitsu Hasegawa},
  pages =         {x+235},
  publisher =     {Nippon Hyoron Sha},
  title =         {Handbook of Writing for the Mathematical Sciences},
  year =          {1994},
  isbn =          {4-535-78211-3},
}

@book{high:HWMS2,
  address =       {Philadelphia, PA, USA},
  author =        {Nicholas J. Higham},
  edition =       {Second},
  pages =         {xvi+302},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {Handbook of Writing for the Mathematical Sciences},
  year =          {1998},
  doi =           {10.1137/1.9780898719550},
  isbn =          {978-0-898714-20-3},
}

@book{high:HWMS3,
  address =       {Philadelphia, PA, USA},
  author =        {Nicholas J. Higham},
  edition =       {Third},
  pages =         {xxi+353},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {Handbook of Writing for the Mathematical Sciences},
  year =          {2020},
  doi =           {10.1137/1.9781611976106},
  isbn =          {978-1-611976-09-0},
}

@inproceedings{high99n,
  author =        {Nicholas J. Higham},
  booktitle =     {The Graduate Student's Guide to Numerical Analysis
                   '\textup{98}},
  editor =        {Mark Ainsworth and Jeremy Levesley and
                   Marco Marletta},
  pages =         {48-82},
  publisher =     {Spring{\-}er-Ver{\-}lag, Berlin, Germany},
  title =         {Notes on Accuracy and Stability of Algorithms in
                   Numerical Linear Algebra},
  year =          {1999},
}

@article{high98c,
  author =        {Nicholas J. Higham},
  journal =       {Math. Comp.},
  month =         oct,
  number =        {224},
  pages =         {1591-1599},
  title =         {Factorizing Complex Symmetric Matrices with Positive
                   Definite Real and Imaginary Parts},
  volume =        {67},
  year =          {1998},
  doi =           {10.1090/S0025-5718-98-00978-8},
}

@article{high99b,
  author =        {Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {181-189},
  title =         {Stability of Block $\mathrm{LDL^T}$ Factorization of
                   a Symmetric Tridiagonal Matrix},
  volume =        {287},
  year =          {1999},
  doi =           {10.1016/S0024-3795(98)10074-5},
}

@techreport{high99s,
  address =       {UK},
  author =        {Nicholas J. Higham},
  institution =   {Manchester Centre for Computational Mathematics},
  month =         jan,
  number =        {No. 336},
  pages =         {11},
  type =          {Numerical Analysis Report},
  title =         {A New \texttt{sqrtm} for {MATLAB}},
  year =          {1999},
}

@article{high00q,
  author =        {Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {153-174},
  title =         {{QR} Factorization with Complete Pivoting and
                   Accurate Computation of the {SVD}},
  volume =        {309},
  year =          {2000},
  doi =           {10.1016/S0024-3795(99)00230-X},
}

@article{high01p,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1126-1135},
  title =         {Evaluating {Pad\'e} Approximants of the Matrix
                   Logarithm},
  volume =        {22},
  year =          {2001},
  doi =           {10.1137/S0895479800368688},
}

@article{high02c,
  author =        {Nicholas J. Higham},
  journal =       {IMA J. Numer. Anal.},
  number =        {3},
  pages =         {329-343},
  title =         {Computing the Nearest Correlation Matrix---{A}
                   Problem from Finance},
  volume =        {22},
  year =          {2002},
  doi =           {10.1093/imanum/22.3.329},
}

@article{high03j,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         sep,
  number =        {3},
  pages =         {504-519},
  title =         {{$J$}-Orthogonal Matrices: {Properties} and
                   Generation},
  volume =        {45},
  year =          {2003},
  doi =           {10.1137/S0036144502414930},
}

@article{high04b,
  author =        {Nicholas J. Higham},
  journal =       {IMA J. Numer. Anal.},
  number =        {4},
  pages =         {547-556},
  title =         {The Numerical Stability of Barycentric {Lagrange}
                   Interpolation},
  volume =        {24},
  year =          {2004},
  doi =           {10.1093/imanum/24.4.547},
}

@article{high05e,
  author =        {Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1179-1193},
  title =         {The Scaling and Squaring Method for the Matrix
                   Exponential Revisited},
  volume =        {26},
  year =          {2005},
  doi =           {10.1137/04061101X},
}

@incollection{high06f,
  address =       {Boca Raton, FL, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {Handbook of Linear Algebra},
  editor =        {Leslie Hogben},
  pages =         {{11.1}--{11.13}},
  publisher =     {Chapman and Hall/CRC},
  title =         {Functions of Matrices},
  year =          {2006},
}

@incollection{high07g,
  author =        {Nicholas J. Higham},
  booktitle =     {Milestones in Matrix Computation: {The} Selected
                   Works of {Gene H. Golub}, with Commentaries},
  editor =        {Raymond H. Chan and Chen Greif and Dianne P. O'Leary},
  pages =         {227-235},
  publisher =     {Oxford University Press},
  title =         {Commentary on Matrix Factorizations and Applications},
  year =          {2007},
}

@article{high08c,
  author =        {Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {39-43},
  title =         {{Cayley}, {Sylvester}, and Early Matrix Theory},
  volume =        {428},
  year =          {2008},
  doi =           {10.1016/j.laa.2007.10.004},
}

@book{high:FM,
  address =       {Philadelphia, PA, USA},
  author =        {Nicholas J. Higham},
  pages =         {xx+425},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {Functions of Matrices: {Theory} and Computation},
  year =          {2008},
  doi =           {10.1137/1.9780898717778},
  isbn =          {978-0-898716-46-7},
}

@article{high09c,
  author =        {Nicholas J. Higham},
  journal =       {WIREs Comp. Stat.},
  number =        {2},
  pages =         {251-254},
  title =         {Cholesky Factorization},
  volume =        {1},
  year =          {2009},
  doi =           {10.1002/wics.18},
}

@article{high09e,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  number =        {4},
  pages =         {747-764},
  title =         {The Scaling and Squaring Method for the Matrix
                   Exponential Revisited},
  volume =        {51},
  year =          {2009},
  doi =           {10.1137/090768539},
}

@article{high11g,
  author =        {Nicholas J. Higham},
  journal =       {WIREs Comp. Stat.},
  number =        {3},
  pages =         {230-238},
  title =         {Gaussian Elimination},
  volume =        {3},
  year =          {2011},
  doi =           {10.1002/wics.164},
}

@misc{high13b,
  author =        {Nicholas J. Higham},
  howpublished =  {\url{http://nhigham.com/2013/01/31/arthur-buchheim}},
  month =         jan,
  title =         {{Arthur Buchheim (1859--1888)}},
  year =          {2013},
}

@misc{high13g,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{http://nhigham.com/2013/08/09/gene-golub-siam-summer-school-2013}},
  month =         aug,
  title =         {{Gene Golub SIAM Summer School} 2013},
  year =          {2013},
}

@misc{high13c,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2013/02/13/the-nearest-correlation-matrix}},
  month =         feb,
  title =         {The Nearest Correlation Matrix},
  year =          {2013},
}

@misc{high14c,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{http://blogs.siam.org/confessions-of-a-vice-president-at-large}},
  month =         jan,
  title =         {Confessions of a Vice President At Large},
  year =          {2014},
}

@misc{high13w,
  author =        {Nicholas J. Higham},
  howpublished =      {\url{http://blogs.siam.org/why-to-nominate-for-prizes}},
  month =         dec,
  title =         {Why to Nominate for Prizes},
  year =          {2013},
}

@incollection{high14g,
  address =       {New York},
  author =        {Nicholas J. Higham},
  booktitle =     {Walter {Gautschi}. {Selected} Works with
                   Commentaries},
  editor =        {Claude Brezinski and Ahmed Sameh},
  pages =         {37-40},
  publisher =     {Birkh{\"{a}}user},
  title =         {Numerical Conditioning},
  volume =        {1},
  year =          {2014},
  doi =           {10.1007/978-1-4614-7034-2_5},
  isbn =          {978-1-4614-7033-5},
}

@incollection{high14f,
  address =       {Boca Raton, FL, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {Handbook of Linear Algebra},
  edition =       {Second},
  editor =        {Leslie Hogben},
  pages =         {{17.1}--{17.15}},
  publisher =     {Chapman and Hall/CRC},
  title =         {Functions of Matrices},
  year =          {2014},
}

@article{high14s,
  author =        {Nicholas J. Higham},
  journal =       {Mathematics Today},
  month =         aug,
  number =        {4},
  pages =         {202-206},
  title =         {Sylvester's Influence on Applied Mathematics},
  volume =        {50},
  year =          {2014},
}

@misc{high14p,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2014/09/10/the-spotlight-factor}},
  month =         sep,
  title =         {The Spotlight Factor},
  year =          {2014},
}

@incollection{high15a,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {40-49},
  publisher =     {Princeton University Press},
  title =         {Algorithms},
  year =          {2015},
}

@incollection{high15c,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {808-813},
  publisher =     {Princeton University Press},
  title =         {Color Spaces and Digital Imaging},
  year =          {2015},
}

@incollection{high15fl,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {96-97},
  publisher =     {Princeton University Press},
  title =         {Floating-Point Arithmetic},
  year =          {2015},
}

@incollection{high15fu,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {97-99},
  publisher =     {Princeton University Press},
  title =         {Functions of Matrices},
  year =          {2015},
}

@incollection{high15g,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {48-55},
  publisher =     {Princeton University Press},
  title =         {Goals of Applied Mathematical Research},
  year =          {2015},
}

@incollection{high15j,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {112-113},
  publisher =     {Princeton University Press},
  title =         {The {Jordan} Canonical Form},
  year =          {2015},
}

@incollection{high15l,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {8-27},
  publisher =     {Princeton University Press},
  title =         {The Language of Applied Mathematics},
  year =          {2015},
}

@incollection{high15m,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {27-40},
  publisher =     {Princeton University Press},
  title =         {Methods of Solution},
  year =          {2015},
}

@incollection{high15n,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {263-281},
  publisher =     {Princeton University Press},
  title =         {Numerical Linear Algebra and Matrix Analysis},
  year =          {2015},
}

@incollection{high15p,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {828-839},
  publisher =     {Princeton University Press},
  title =         {Programming Languages: {An} Applied Mathematics View},
  year =          {2015},
}

@incollection{high15r,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {903-906},
  publisher =     {Princeton University Press},
  title =         {How to Read and Understand a Paper},
  year =          {2015},
}

@incollection{high15sv,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {126-127},
  publisher =     {Princeton University Press},
  title =         {The Singular Value Decomposition},
  year =          {2015},
}

@incollection{high15sy,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {168-169},
  publisher =     {Princeton University Press},
  title =         {The {Sylvester} and {Lyapunov} Equations},
  year =          {2015},
}

@incollection{high15wh,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {1-8},
  publisher =     {Princeton University Press},
  title =         {What Is Applied Mathematics?},
  year =          {2015},
}

@incollection{high15wo,
  address =       {Princeton, NJ, USA},
  author =        {Nicholas J. Higham},
  booktitle =     {The Princeton Companion to Applied Mathematics},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {912-916},
  publisher =     {Princeton University Press},
  title =         {Workflow},
  year =          {2015},
}

@article{high15k,
  author =        {Nicholas J. Higham},
  journal =       {Mathematics Today},
  month =         oct,
  number =        {5},
  pages =         {212-214},
  title =         {Making the {Princeton Companion to Applied
                   Mathematics}},
  volume =        {51},
  year =          {2015},
  url =           {http://eprints.ma.man.ac.uk/2399},
}

@incollection{high15mf,
  address =       {Berlin, Germany},
  author =        {Nicholas J. Higham},
  booktitle =     {Encyclopedia of Applied and Computational
                   Mathematics},
  editor =        {Bj{\"o}rn Engquist},
  pages =         {863-865},
  publisher =     {Spring{\-}er-Ver{\-}lag},
  title =         {Matrix Functions: {Computation}},
  year =          {2015},
  doi =           {10.1007/978-3-540-70529-1},
}

@misc{high15cf,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2015/11/17/corless-and-fillions-a-graduate-introduction-to-numerical-methods-from-the-viewpoint-of-backward-error-analysis/}},
  month =         nov,
  title =         {Corless and Fillion's \emph{A Graduate Introduction
                   to Numerical Methods from the Viewpoint of Backward
                   Error Analysis}},
  year =          {2015},
}

@misc{high16d,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2016/01/14/distraction-free-editing-with-emacs}},
  month =         jan,
  title =         {Distraction-Free Editing with {Emacs}},
  year =          {2016},
}

@misc{high16t,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2016/03/29/the-top-10-algorithms-in-applied-mathematics}},
  month =         mar,
  title =         {The Top 10 Algorithms in Applied Mathematics},
  year =          {2016},
}

@misc{high16i,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2016/05/13/iterating-matlab-commands}},
  month =         may,
  title =         {Iterating {MATLAB} Commands},
  year =          {2016},
}

@misc{high16z,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2016/06/29/the-one-line-maze-program-in-matlab}},
  month =         jun,
  title =         {The One-Line Maze Program in {MATLAB}},
  year =          {2016},
}

@incollection{high16m,
  address =       {},
  author =        {Nicholas J. Higham},
  booktitle =     {New Directions in Numerical Computation},
  editor =        {Tobin A. Driscoll and Endre S{\"u}li and
                   Alex Townsend},
  number =        {4},
  pages =         {398-400},
  publisher =     {Notices Amer. Math. Soc.},
  title =         {Mixed Precision Computations},
  volume =        {63},
  year =          {2016},
  doi =           {10.1090/noti1363},
}

@misc{high16e,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2016/03/15/empty-matrices-in-matlab/}},
  month =         mar,
  title =         {Empty Matrices in {MATLAB}},
  year =          {2016},
}

@misc{high17c,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2017/02/06/preparing-cmyk-figures-for-book-printing/}},
  month =         jun,
  title =         {Preparing {CMYK} Figures for Book Printing},
  year =          {2016},
}

@misc{high17q,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2017/08/31/how-fast-is-quadruple-precision-arithmetic/}},
  month =         jun,
  title =         {How Fast is Quadruple Precision Arithmetic?},
  year =          {2016},
}

@incollection{high02cf,
  address =       {Berlin, Germany},
  author =        {Nicholas J. Higham},
  booktitle =     {Encyclopedia of Mathematics},
  pages =         {863-865},
  publisher =     {Spring{\-}er-Ver{\-}lag},
  title =         {Cholesky Factorization},
  year =          {2002},
  url =           {http://www.encyclopediaofmath.org/index.php?
                  title=Cholesky_factorization&oldid=11469},
}

@techreport{high19i,
  address =       {UK},
  author =        {Nicholas J. Higham},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         nov,
  number =        {2019.19},
  pages =         {8},
  type =          {{MIMS EPrint}},
  title =         {Error Analysis For Standard and {GMRES}-Based
                   Iterative Refinement in Two and Three-Precisions},
  year =          {2019},
  url =           {http://eprints.maths.manchester.ac.uk/2735/},
}

@article{high21m,
  author =        {Nicholas J. Higham},
  journal =       {LMS Newsletter},
  month =         mar,
  pages =         {35-41},
  title =         {The Mathematics of Floating-Point Arithmetic},
  volume =        {493},
  year =          {2021},
  url =           {https://www.lms.ac.uk/publications/lms-newsletter-back-
                  issues},
}

@article{high21d,
  author =        {Nicholas J. Higham},
  journal =       {Mathematics Today},
  month =         aug,
  number =        {4},
  pages =         {116-117},
  title =         {Disseminating Research Through Articles and Blogs},
  volume =        {57},
  year =          {2021},
}

@article{hial10,
  author =        {Nicholas J. Higham and Awad H. Al-Mohy},
  journal =       {Acta Numerica},
  pages =         {159-208},
  title =         {Computing Matrix Functions},
  volume =        {19},
  year =          {2010},
  doi =           {10.1017/S0962492910000036},
}

@inproceedings{high23n,
  author =        {Nicholas J. Higham},
  booktitle =     {International Congress of Mathematicians},
  month =         dec,
  pages =         {5098–5117},
  publisher =     {EMS Press},
  title =         {Numerical Stability of Algorithms at Extreme Scale
                   and Low Precisions},
  year =          {2023},
  doi =           {10.4171/ICM2022/74},
}

@techreport{high23,
  address =       {UK},
  author =        {Nicholas J. Higham},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         nov,
  number =        {2023.x},
  pages =         {20},
  type =          {{MIMS EPrint}},
  title =         {The Power of Bidiagonal Matrices},
  year =          {2023},
  url =           {https://eprints.maths.manchester.ac.uk/2886/},
}

@article{hich98,
  author =        {Nicholas J. Higham and Sheung Hun Cheng},
  journal =       {Linear Algebra Appl.},
  pages =         {261-279},
  title =         {Modifying the Inertia of Matrices Arising in
                   Optimization},
  volume =        {275--276},
  year =          {1998},
  doi =           {10.1016/S0024-3795(97)10015-5},
}

@techreport{hide14,
  address =       {UK},
  author =        {Nicholas J. Higham and Edvin Deadman},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         feb,
  number =        {2014.8},
  pages =         {19},
  type =          {{MIMS EPrint}},
  title =         {A Catalogue of Software for Matrix Functions.
                   {Version} 1.0},
  year =          {2014},
  url =           {http://eprints.ma.man.ac.uk/2102},
}

@techreport{hide16,
  address =       {UK},
  author =        {Nicholas J. Higham and Edvin Deadman},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         jan,
  note =          {Updated March 2016},
  number =        {2016.3},
  pages =         {22},
  type =          {{MIMS EPrint}},
  title =         {A Catalogue of Software for Matrix Functions.
                   {Version} 2.0},
  year =          {2016},
  url =           {http://eprints.maths.manchester.ac.uk/2452/},
}

@book{hdgm15,
  address =       {Princeton, NJ, USA},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  pages =         {xvii + 994 + 16 color plates},
  publisher =     {Princeton University Press},
  title =         {The Princeton Companion to Applied Mathematics},
  year =          {2015},
  isbn =          {978-0-691-15039-0},
  url =           {http://press.princeton.edu/titles/10592.html},
}

@book{hdgm18,
  address =       {South Korea},
  editor =        {Nicholas J. Higham and Mark R. Dennis and
                   Paul Glendinning and Paul A. Martin and Fadil Santosa and
                   Jared Tanner},
  note =          {Korean translation of \cite{hdgm15}, in two volumes},
  pages =         {936 + 16 color plates + 639},
  publisher =     {Seung San Publishers},
  title =         {The Princeton Companion to Applied Mathematics},
  year =          {2018},
  isbn =          {978-89-6139-069-9 and 978-89-6139-070-5},
  url =           {http://seoji.nl.go.kr/landingPage?isbn=9788961390699},
}

@article{hihi89,
  author =        {Nicholas J. Higham and Desmond J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         apr,
  number =        {2},
  pages =         {155-164},
  title =         {Large Growth Factors in {Gaussian} Elimination with
                   Pivoting},
  volume =        {10},
  year =          {1989},
  doi =           {10.1137/0610012},
}

@techreport{hiho20,
  address =       {UK},
  author =        {Nicholas J. Higham and Edvin Hopkins},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         mar,
  number =        {2020.7},
  pages =         {24},
  type =          {{MIMS EPrint}},
  title =         {A Catalogue of Software for Matrix Functions.
                   {Version} 3.0},
  year =          {2020},
  url =           {http://eprints.maths.manchester.ac.uk/2754/},
}

@article{hika17,
  author =        {Nicholas J. Higham and Peter Kandolf},
  journal =       {SIAM J. Sci. Comput.},
  number =        {2},
  pages =         {A613-A627},
  title =         {Computing the Action of Trigonometric and Hyperbolic
                   Matrix Functions},
  volume =        {39},
  year =          {2017},
  doi =           {10.1137/16M1084225},
}

@article{hiki00q,
  author =        {Nicholas J. Higham and Hyun-Min Kim},
  journal =       {IMA J. Numer. Anal.},
  number =        {4},
  pages =         {499-519},
  title =         {Numerical Analysis of a Quadratic Matrix Equation},
  volume =        {20},
  year =          {2000},
  doi =           {10.1093/imanum/20.4.499},
}

@article{hiki01n,
  author =        {Nicholas J. Higham and Hyun-Min Kim},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {2},
  pages =         {303-316},
  title =         {Solving a Quadratic Matrix Equation by {Newton's}
                   Method with Exact Line Searches},
  volume =        {23},
  year =          {2001},
  doi =           {10.1137/S0895479899350976},
}

@inproceedings{hikn93,
  author =        {Nicholas J. Higham and Philip A. Knight},
  booktitle =     {Linear Algebra, Markov Chains, and Queueing Models},
  editor =        {Meyer, Carl D. and Robert J. Plemmons},
  pages =         {29-46},
  publisher =     {Spring{\-}er-Ver{\-}lag, New York},
  series =        {IMA Volumes in Mathematics and Its Applications},
  title =         {Componentwise Error Analysis for Stationary Iterative
                   Methods},
  volume =        {48},
  year =          {1993},
  doi =           {10.1007/978-1-4613-8351-2_3},
}

@article{hikn93a,
  author =        {Nicholas J. Higham and Philip A. Knight},
  journal =       {Linear Algebra Appl.},
  pages =         {165-186},
  title =         {Finite Precision Behavior of Stationary Iteration for
                   Solving Singular Systems},
  volume =        {192},
  year =          {1993},
  doi =           {10.1016/0024-3795(93)90242-G},
}

@article{hikn95,
  author =        {Nicholas J. Higham and Philip A. Knight},
  journal =       {SIAM J. Matrix Anal. Appl.},
  month =         apr,
  number =        {2},
  pages =         {343-358},
  title =         {Matrix Powers in Finite Precision Arithmetic},
  volume =        {16},
  year =          {1995},
  doi =           {10.1137/S0895479893256347},
}

@article{hkmp04,
  author =        {Nicholas J. Higham and Mihail Konstantinov and
                   Volker Mehrmann and Petko Petkov},
  journal =       {IEEE Control Systems Magazine},
  month =         feb,
  number =        {1},
  pages =         {28-43},
  title =         {The Sensitivity of Computational Control Problems},
  volume =        {24},
  year =          {2004},
  doi =           {10.1109/MCS.2004.1272744},
}

@article{hile22,
  author =        {Nicholas J. Higham and Matthew C. Lettington},
  journal =       {Amer. Math. Monthly},
  number =        {5},
  pages =         {454-465},
  title =         {Optimizing and Factorizing the {Wilson} Matrix},
  volume =        {129},
  year =          {2022},
  doi =           {10.1080/00029890.2022.2038006},
}

@article{hls21,
  author =        {Nicholas J. Higham and Matthew C. Lettington and
                   Karl Michael Schmidt},
  journal =       {Linear Algebra Appl.},
  pages =         {250-267},
  title =         {Integer Matrix Factorisations, Superalgebras and the
                   Quadratic Form Obstruction},
  volume =        {622},
  year =          {2021},
  doi =           {10.1016/j.laa.2021.03.028},
}

@article{hlt07,
  author =        {Nicholas J. Higham and Ren-Cang Li and
                   Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1218-1241},
  title =         {Backward Error of Polynomial Eigenproblems Solved by
                   Linearization},
  volume =        {29},
  year =          {2007},
  doi =           {10.1137/060663738},
}

@article{hili11,
  author =        {Nicholas J. Higham and Lijing Lin},
  journal =       {Linear Algebra Appl.},
  number =        {3},
  pages =         {448-463},
  title =         {On {$p$th} Roots of Stochastic Matrices},
  volume =        {435},
  year =          {2011},
  doi =           {10.1016/j.laa.2010.04.007},
}

@article{hili11a,
  author =        {Nicholas J. Higham and Lijing Lin},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {1056-1078},
  title =         {A {Schur--Pad{\'e}} Algorithm for Fractional Powers
                   of a Matrix},
  volume =        {32},
  year =          {2011},
  doi =           {10.1137/10081232X},
}

@article{hili13,
  author =        {Nicholas J. Higham and Lijing Lin},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {1341-1360},
  title =         {An Improved {Schur--Pad\'{e}} Algorithm for
                   Fractional Powers of a Matrix and their {Fr\'echet}
                   Derivatives},
  volume =        {34},
  year =          {2013},
  doi =           {10.1137/130906118},
}

@incollection{hili15,
  address =       {Singapore},
  author =        {Nicholas J. Higham and Lijing Lin},
  booktitle =     {Matrix Functions and Matrix Equations},
  editor =        {Zhaojun Bai and Weiguo Gao and Yangfeng Su},
  number =        {19},
  pages =         {1-27},
  publisher =     {World Scientific},
  series =        {Series in Contemporary Applied Mathematics},
  title =         {Matrix Functions: {A} Short Course},
  year =          {2015},
  doi =           {10.1142/9789814675772_0001},
  isbn =          {978-9814675765},
}

@article{hili21,
  author =        {Nicholas J. Higham and Xiaobo Liu},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {1401-1422},
  title =         {A Multiprecision Derivative-Free {Schur--Parlett}
                   Algorithm for Computing Matrix Functions},
  volume =        {42},
  year =          {2021},
  doi =           {10.1137/20m1365326},
}

@article{hmmt04c,
  author =        {Nicholas J. Higham and D. Steven Mackey and
                   Niloufer Mackey and Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1178-1192},
  title =         {Computing the Polar Decomposition and the Matrix Sign
                   Decomposition in Matrix Groups},
  volume =        {25},
  year =          {2004},
  doi =           {10.1137/S0895479803426644},
}

@article{hmmt05f,
  author =        {Nicholas J. Higham and D. Steven Mackey and
                   Niloufer Mackey and Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {849-877},
  title =         {Functions Preserving Matrix Groups and Iterations for
                   the Matrix Square Root},
  volume =        {26},
  year =          {2005},
  doi =           {10.1137/S0895479804442218},
}

@article{hmmt06s,
  author =        {Nicholas J. Higham and D. Steven Mackey and
                   Niloufer Mackey and Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {1},
  pages =         {143-159},
  title =         {Symmetric Linearizations for Matrix Polynomials},
  volume =        {29},
  year =          {2006},
  doi =           {10.1137/050646202},
}

@article{hmt06c,
  author =        {Nicholas J. Higham and D. Steven Mackey and
                   Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1005-1028},
  title =         {The Conditioning of Linearizations of Matrix
                   Polynomials},
  volume =        {28},
  year =          {2006},
  doi =           {10.1137/050628283},
}

@article{hmt09,
  author =        {Nicholas J. Higham and D. Steven Mackey and
                   Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {2},
  pages =         {478-502},
  title =         {Definite Matrix Polynomials and their Linearization
                   by Definite Pencils},
  volume =        {31},
  year =          {2009},
  doi =           {10.1137/080721406},
}

@article{hmtg08,
  author =        {Nicholas J. Higham and D. Steven Mackey and
                   Fran\c{c}oise Tisseur and Seamus D. Garvey},
  journal =       {Internat. J. Numer. Methods Eng.},
  number =        {3},
  pages =         {344-360},
  title =         {Scaling, Sensitivity and Stability in the Numerical
                   Solution of Quadratic Eigenvalue Problems},
  volume =        {73},
  year =          {2008},
  doi =           {10.1002/nme.2076},
}

@article{hima19,
  author =        {Nicholas J. Higham and Theo Mary},
  journal =       {SIAM J. Sci. Comput.},
  number =        {1},
  pages =         {A59-A82},
  title =         {A New Preconditioner that Exploits Low-Rank
                   Approximations to Factorization Error},
  volume =        {41},
  year =          {2019},
  doi =           {10.1137/18M1182802},
}

@article{hima19a,
  author =        {Nicholas J. Higham and Theo Mary},
  journal =       {SIAM J. Sci. Comput.},
  number =        {5},
  pages =         {A2815-A2835},
  title =         {A New Approach to Probabilistic Rounding Error
                   Analysis},
  volume =        {41},
  year =          {2019},
  doi =           {10.1137/18M1226312},
}

@article{hima20,
  author =        {Nicholas J. Higham and Theo Mary},
  journal =       {SIAM J. Sci. Comput.},
  number =        {5},
  pages =         {A3427-A3446},
  title =         {Sharper Probabilistic Backward Error Analysis for
                   Basic Linear Algebra Kernels with Random Data},
  volume =        {42},
  year =          {2020},
  doi =           {10.1137/20M1314355},
}

@article{hima21,
  author =        {Nicholas J. Higham and Theo Mary},
  journal =       {IMA J. Numer. Anal.},
  number =        {2},
  pages =         {951–980},
  title =         {Solving Block Low-Rank Linear Systems by {LU}
                   Factorization is Numerically Stable},
  volume =        {42},
  year =          {2021},
  doi =           {10.1093/imanum/drab020},
}

@article{hima22,
  author =        {Nicholas J. Higham and Theo Mary},
  journal =       {Acta Numerica},
  month =         may,
  pages =         {347-414},
  title =         {Mixed Precision Algorithms in Numerical Linear
                   Algebra},
  volume =        {31},
  year =          {2022},
  doi =           {10.1017/s0962492922000022},
}

@article{hmt10,
  author =        {Nicholas J. Higham and Christian Mehl and
                   Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {2163-2180},
  title =         {The Canonical Generalized Polar Decomposition},
  volume =        {31},
  year =          {2010},
  doi =           {10.1137/090765018},
}

@article{himi21,
  author =        {Nicholas J. Higham and Mantas Mikaitis},
  journal =       {Numer. Algorithms},
  number =        {3},
  pages =         {1175-1196},
  title =         {Anymatrix: {An} Extensible {MATLAB} Matrix
                   Collection},
  volume =        {90},
  year =          {2021},
  doi =           {10.1007/s11075-021-01226-2},
}

@techreport{himi21-UG,
  address =       {UK},
  author =        {Nicholas J. Higham and Mantas Mikaitis},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         oct,
  number =        {2021.15},
  pages =         {31},
  type =          {{MIMS EPrint}},
  title =         {Anymatrix: {An} Extensible {MATLAB} Matrix
                   Collection. {Users'} Guide},
  year =          {2021},
  url =           {http://eprints.maths.manchester.ac.uk/2834/},
}

@misc{himi-am,
  author =        {Nicholas J. Higham and Mantas Mikaitis},
  note =          {\url{https://github.com/mmikaitis/anymatrix}},
  title =         {Anymatrix: {An} Extensible {MATLAB} Matrix
                   Collection},
}

@techreport{hnt19,
  address =       {UK},
  author =        {Nicholas J. Higham and Negri Porzio, Gian Maria and
                   Fran\c{c}oise Tisseur},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         mar,
  number =        {2019.5},
  pages =         {12},
  type =          {{MIMS EPrint}},
  title =         {An Updated Set of Nonlinear Eigenvalue Problems},
  year =          {2019},
  url =           {http://eprints.maths.manchester.ac.uk/2699/},
}

@article{hino16,
  author =        {Nicholas J. Higham and Vanni Noferini},
  journal =       {Numer. Algorithms},
  number =        {2},
  pages =         {349-369},
  title =         {An Algorithm to Compute the Polar Decomposition of a
                   {$3 \times 3$} Matrix},
  volume =        {73},
  year =          {2016},
  doi =           {10.1007/s11075-016-0098-7},
}

@article{hipa94,
  author =        {Nicholas J. Higham and Pythagoras Papadimitriou},
  journal =       {Parallel Comput.},
  month =         aug,
  number =        {8},
  pages =         {1161-1173},
  title =         {A Parallel Algorithm for Computing the Polar
                   Decomposition},
  volume =        {20},
  year =          {1994},
  doi =           {10.1016/0167-8191(94)90073-6},
}

@inproceedings{hipa94a,
  author =        {Nicholas J. Higham and Pythagoras Papadimitriou},
  booktitle =     {Proceedings of the Fifth SIAM Conference on Applied
                   Linear Algebra},
  editor =        {John G. Lewis},
  pages =         {80-84},
  publisher =     {Society for Industrial and Applied Mathematics,
                   Philadelphia, PA, USA},
  title =         {A New Parallel Algorithm for Computing the Singular
                   Value Decomposition},
  year =          {1994},
  isbn =          {0-89871-336-6},
}

@article{hipo94,
  author =        {Nicholas J. Higham and Alex Pothen},
  journal =       {SIAM J. Sci. Comput.},
  month =         jan,
  number =        {1},
  pages =         {139-148},
  title =         {Stability of the Partitioned Inverse Method for
                   Parallel Solution of Sparse Triangular Systems},
  volume =        {15},
  year =          {1994},
  doi =           {10.1137/0915009},
}

@article{hipr19,
  author =        {Nicholas J. Higham and Srikara Pranesh},
  journal =       {SIAM J. Sci. Comput.},
  number =        {5},
  pages =         {C585-C602},
  title =         {Simulating Low Precision Floating-Point Arithmetic},
  volume =        {41},
  year =          {2019},
  doi =           {10.1137/19M1251308},
}

@article{hipr21,
  author =        {Nicholas J. Higham and Srikara Pranesh},
  journal =       {SIAM J. Sci. Comput.},
  number =        {1},
  pages =         {A258-A277},
  title =         {Exploiting Lower Precision Arithmetic in Solving
                   Symmetric Positive Definite Linear Systems and Least
                   Squares Problems},
  volume =        {43},
  year =          {2021},
  doi =           {10.1137/19M1298263},
}

@article{hpz19,
  author =        {Nicholas J. Higham and Srikara Pranesh and
                   Mawussi Zounon},
  journal =       {SIAM J. Sci. Comput.},
  number =        {4},
  pages =         {A2536-A2551},
  title =         {Squeezing a Matrix Into Half Precision, with an
                   Application to Solving Linear Systems},
  volume =        {41},
  year =          {2019},
  doi =           {10.1137/18M1229511},
}

@article{hire14a,
  author =        {Nicholas J. Higham and Samuel D. Relton},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {1019-1037},
  title =         {Higher Order {Fr\'{e}chet} Derivatives of Matrix
                   Functions and the Level-{$2$} Condition Number},
  volume =        {35},
  year =          {2014},
  doi =           {10.1137/130945259},
}

@article{hire14b,
  author =        {Nicholas J. Higham and Samuel D. Relton},
  journal =       {SIAM J. Sci. Comput.},
  number =        {6},
  pages =         {C617-C634},
  title =         {Estimating the Condition Number of the {Fr{\'e}chet}
                   Derivative of a Matrix Function},
  volume =        {36},
  year =          {2014},
  doi =           {10.1137/130950082},
}

@article{hire16,
  author =        {Nicholas J. Higham and Samuel D. Relton},
  journal =       {SIAM J. Sci. Comput.},
  number =        {5},
  pages =         {C584-C601},
  title =         {Estimating the Largest Elements of a Matrix},
  volume =        {38},
  year =          {2016},
  doi =           {10.1137/15M1053645},
}

@article{hisc90,
  author =        {Nicholas J. Higham and Robert S. Schreiber},
  journal =       {SIAM J. Sci. Statist. Comput.},
  month =         jul,
  number =        {4},
  pages =         {648-655},
  title =         {Fast Polar Decomposition of an Arbitrary Matrix},
  volume =        {11},
  year =          {1990},
  doi =           {10.1137/0911038},
}

@book{hish-HBC,
  address =       {Philadelphia, PA, USA},
  author =        {Nicholas J. Higham and Dennis Sherwood},
  pages =         {xii+109},
  publisher =     {Society for Industrial and Applied Mathematics},
  title =         {How to Be Creative: {A} Practical Guide for the
                   Mathematical Sciences},
  year =          {2022},
  doi =           {10.1137/1.9781611977035},
  isbn =          {978-1-611977-02-8},
}

@article{hish23,
  author =        {Nicholas J. Higham and Dennis Sherwood},
  journal =       {LMS Newsletter},
  month =         jul,
  pages =         {28-31},
  title =         {Hamilton's Discovery of the Quaternions and
                   Creativity in Mathematics},
  volume =        {507},
  year =          {2023},
  url =           {https://www.lms.ac.uk/publications/lms-newsletter-back-
                  issues},
}

@article{hism03,
  author =        {Nicholas J. Higham and Matthew I. Smith},
  journal =       {Numer. Algorithms},
  pages =         {13-26},
  title =         {Computing the Matrix Cosine},
  volume =        {34},
  year =          {2003},
  doi =           {10.1023/A:1026152731904},
}

@article{hist16,
  author =        {Nicholas J. Higham and Nata\v{s}a Strabi{\'c}},
  journal =       {Numer. Algorithms},
  number =        {4},
  pages =         {1021-1042},
  title =         {Anderson Acceleration of the Alternating Projections
                   Method for Computing the Nearest Correlation Matrix},
  volume =        {72},
  year =          {2016},
  doi =           {10.1007/s11075-015-0078-3},
}

@article{hist16a,
  author =        {Nicholas J. Higham and Nata\v{s}a Strabi\'{c}},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {1088-1102},
  title =         {Bounds for the Distance to the Nearest Correlation
                   Matrix},
  volume =        {37},
  year =          {2016},
  doi =           {10.1137/15M1052007},
}

@article{hss16,
  author =        {Nicholas J. Higham and Nata\v{s}a Strabi\'{c} and
                   Vedran \v{S}ego},
  journal =       {SIAM Rev.},
  number =        {2},
  pages =         {245-263},
  title =         {Restoring Definiteness via Shrinking, with an
                   Application to Correlation Matrices with a Fixed
                   Block},
  volume =        {58},
  year =          {2016},
  doi =           {10.1137/140996112},
}

@inproceedings{hist87,
  author =        {Nicholas J. Higham and G. W. Stewart},
  booktitle =     {The State of the Art in Numerical Analysis},
  editor =        {A. Iserles and M. J. D. Powell},
  pages =         {41-57},
  publisher =     {Oxford University Press},
  title =         {Numerical Linear Algebra in Statistical Computing},
  year =          {1987},
}

@article{hiti00n,
  author =        {Nicholas J. Higham and Fran\c{c}oise Tisseur},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {4},
  pages =         {1185-1201},
  title =         {A Block Algorithm for Matrix $1$-Norm Estimation,
                   with an Application to $1$-Norm Pseudospectra},
  volume =        {21},
  year =          {2000},
  doi =           {10.1137/S0895479899356080},
}

@article{hiti02a,
  author =        {Nicholas J. Higham and Fran\c{c}oise Tisseur},
  journal =       {Linear Algebra Appl.},
  pages =         {435-453},
  title =         {More on Pseudospectra for Polynomial Eigenvalue
                   Problems and Applications in Control Theory},
  volume =        {351--352},
  year =          {2002},
  doi =           {10.1016/S0024-3795(01)00542-0},
}

@article{hiti03b,
  author =        {Nicholas J. Higham and Fran\c{c}oise Tisseur},
  journal =       {Linear Algebra Appl.},
  pages =         {5-22},
  title =         {Bounds for Eigenvalues of Matrix Polynomials},
  volume =        {358},
  year =          {2003},
  doi =           {10.1016/S0024-3795(01)00316-0},
}

@article{htv02,
  author =        {Nicholas J. Higham and Fran\c{c}oise Tisseur and
                   Van Dooren, Paul M.},
  journal =       {Linear Algebra Appl.},
  pages =         {455-474},
  title =         {Detecting a Definite {Hermitian} Pair and a
                   Hyperbolic or Elliptic Quadratic Eigenvalue Problem,
                   and Associated Nearness Problems},
  volume =        {351--352},
  year =          {2002},
  doi =           {10.1016/S0024-3795(02)00281-1},
}

@article{khht14,
  author =        {Ramaseshan Kannan and Stephen Hendry and
                   Nicholas J. Higham and Fran\c{c}oise Tisseur},
  journal =       {Computers and Structures},
  pages =         {79-89},
  title =         {Detecting the Causes of Ill-Conditioning in
                   Structural Finite Element Models},
  volume =        {133},
  year =          {2014},
  doi =           {10.1016/j.compstruc.2013.11.014},
}

@article{lhp14,
  author =        {Lijing Lin and Nicholas J. Higham and Jianxin Pan},
  journal =       {Comput. Statist. Data Anal.},
  pages =         {315-327},
  title =         {Covariance Structure Regularization via Entropy Loss
                   Function},
  volume =        {72},
  year =          {2014},
  doi =           {10.1016/j.csda.2013.10.004},
}

@article{nahi18,
  author =        {Prashanth Nadukandi and Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  number =        {6},
  pages =         {A4060-A4082},
  title =         {Computing the Wave-Kernel Matrix Functions},
  volume =        {40},
  year =          {2018},
  doi =           {10.1137/18M1170352},
}

@article{nahi12p,
  author =        {Yuji Nakatsukasa and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {2},
  pages =         {460-479},
  title =         {Backward Stability of Iterations for Computing the
                   Polar Decomposition},
  volume =        {33},
  year =          {2012},
  doi =           {10.1137/110857544},
}

@article{nahi13,
  author =        {Yuji Nakatsukasa and Nicholas J. Higham},
  journal =       {SIAM J. Sci. Comput.},
  number =        {3},
  pages =         {A1325-A1349},
  title =         {Stable and Efficient Spectral Divide and Conquer
                   Algorithms for the Symmetric Eigenvalue Decomposition
                   and the {SVD}},
  volume =        {35},
  year =          {2013},
  doi =           {10.1137/120876605},
}

@article{tihi01p,
  author =        {Fran\c{c}oise Tisseur and Nicholas J. Higham},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {1},
  pages =         {187-208},
  title =         {Structured Pseudospectra for Polynomial Eigenvalue
                   Problems, with Applications},
  volume =        {23},
  year =          {2001},
  doi =           {10.1137/S0895479800371451},
}

@article{tbbh16,
  author =        {David Topping and Mark Barley and Michael K. Bane and
                   Nicholas Higham and Bernard Aumont and
                   Nicholas Dingle and Gordon McFiggans},
  journal =       {Geoscientific Model Development},
  number =        {2},
  pages =         {899-914},
  title =         {{UManSysProp V1.0}: {An} Online and Open-Source
                   Facility for Molecular Property Prediction and
                   Atmospheric Aerosol Calculations},
  volume =        {9},
  year =          {2016},
  doi =           {10.5194/gmd-9-899-2016},
}

@techreport{thdc09a,
  address =       {UK},
  author =        {Anne Trefethen and Nick Higham and Iain Duff and
                   Peter Coveney},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         jun,
  number =        {2009.85},
  pages =         {84},
  type =          {{MIMS EPrint}},
  title =         {Applications/Algorithms Roadmapping Activity. {First}
                   Stage Final Report},
  year =          {2009},
}

@article{thdc09b,
  author =        {Anne Trefethen and Nick Higham and Iain Duff and
                   Peter Coveney},
  journal =       {Int. J. High Perform. Comput. Appl.},
  number =        {4},
  pages =         {423-426},
  title =         {Developing a High-Performance Computing/Numerical
                   Analysis Roadmap},
  volume =        {23},
  year =          {2009},
  doi =           {10.1177/1094342009347710},
}

@inproceedings{zdhw18,
  author =        {Weijian Zhang and Jonathan Deakin and
                   Nicholas J. Higham and Shuaiqiang Wang},
  booktitle =     {Companion Proceedings of the Web Conference 2018},
  pages =         {227-230},
  publisher =     {International World Wide Web Conferences Steering
                   Committee, Republic and Canton of Geneva,
                   Switzerland},
  series =        {WWW '18},
  title =         {Etymo: {A} New Discovery Engine for {AI} Research},
  year =          {2018},
  doi =           {10.1145/3184558.3186985},
  isbn =          {978-1-4503-5640-4},
}

@article{zhhi16,
  author =        {Weijian Zhang and Nicholas J. Higham},
  journal =       {PeerJ Comput. Sci.},
  month =         apr,
  pages =         {e58},
  title =         {{Matrix Depot}: {An} Extensible Test Matrix
                   Collection for {Julia}},
  volume =        {2},
  year =          {2016},
  doi =           {10.7717/peerj-cs.58},
}

@article{zhlt22,
  author =        {Mawussi Zounon and Nicholas J. Higham and Craig Lucas and
                   Fran\c{c}oise Tisseur},
  journal =       {PeerJ Comput. Sci.},
  month =         jan,
  pages =         {e778(1-22)},
  title =         {Performance Impact of Precision Reduction in Sparse
                   Linear Systems Solvers},
  volume =        {8},
  year =          {2022},
  doi =           {10.7717/peerj-cs.778},
}

@techreport{bhh93,
  address =       {Manchester, England},
  author =        {Susanne M. Balle and Hansen, Per Christian and
                   Nicholas J. Higham},
  institution =   {Centre for Novel Computing, University of Manchester},
  month =         oct,
  number =        {CNC/1993/028},
  pages =         {29},
  type =          {Technical Report},
  title =         {A {Strassen}-Type Matrix Inversion Algorithm for the
                   {Connection Machine}},
  year =          {1993},
}

@article{frhi18,
  author =        {T. L. Freeman and Nicholas J. Higham},
  journal =       {Mathematics Today},
  month =         jun,
  number =        {3},
  pages =         {89},
  title =         {{Joan E. Walsh} {FIMA} (1932--2017)},
  volume =        {54},
  year =          {2018},
}

@article{hifo17,
  author =        {Nicholas J. Higham and Neville J. Ford},
  journal =       {Mathematics Today},
  month =         dec,
  number =        {6},
  pages =         {257},
  title =         {{Christopher T. H. Baker} (1939--2017)},
  volume =        {53},
  year =          {2017},
}

@techreport{high83t,
  address =       {Manchester, England},
  author =        {Nicholas J. Higham},
  institution =   {University of Manchester},
  month =         may,
  number =        {No. 86},
  type =          {Numerical Analysis Report},
  title =         {Upper bounds for the condition number of a triangular
                   matrix},
  year =          {1983},
}

@techreport{high89tm,
  address =       {Manchester, England},
  author =        {Nicholas J. Higham},
  institution =   {University of Manchester},
  month =         jul,
  number =        {No. 172},
  type =          {Numerical Analysis Report},
  title =         {A Collection of Test Matrices in {MATLAB}},
  year =          {1989},
}

@techreport{high90i,
  address =       {Manchester, England},
  author =        {Nicholas J. Higham},
  institution =   {University of Manchester},
  month =         apr,
  number =        {No. 182},
  type =          {Numerical Analysis Report},
  title =         {Iterative Refinement Enhances the Stability of {$QR$}
                   Factorization Methods for Solving Linear Equations},
  year =          {1990},
}

@techreport{high93m,
  address =       {UK},
  author =        {Nicholas J. Higham},
  institution =   {Manchester Centre for Computational Mathematics},
  month =         dec,
  number =        {No. 237},
  pages =         {76},
  type =          {Numerical Analysis Report},
  title =         {The {Test Matrix Toolbox} for {MATLAB}},
  year =          {1993},
}

@techreport{high95m,
  address =       {UK},
  author =        {Nicholas J. Higham},
  institution =   {Manchester Centre for Computational Mathematics},
  month =         sep,
  number =        {No. 276},
  pages =         {70},
  type =          {Numerical Analysis Report},
  title =         {The {Test Matrix Toolbox} for {MATLAB}
                   \textup{(}Version {$3.0$}\textup{)}},
  year =          {1995},
  url =           {http://www.maths.manchester.ac.uk/~higham/papers/
                  high95m.pdf},
}

@techreport{high05-pl,
  address =       {UK},
  author =        {Nicholas J. Higham},
  institution =   {Manchester Centre for Computational Mathematics},
  month =         jun,
  number =        {No. 468},
  pages =         {10},
  type =          {Numerical Analysis Report},
  title =         {An Interview with {Peter Lancaster}},
  year =          {2005},
  url =           {http://eprints.maths.manchester.ac.uk/48/},
}

@techreport{high08-ghg,
  address =       {UK},
  author =        {Nicholas J. Higham},
  institution =   {Manchester Institute for Mathematical Sciences, The
                   University of Manchester},
  month =         feb,
  number =        {2008.8},
  pages =         {13},
  type =          {{MIMS EPrint}},
  title =         {An Interview with {Gene Golub}},
  year =          {2008},
  url =           {http://eprints.maths.manchester.ac.uk/1024/},
}

@techreport{hipa93,
  address =       {UK},
  author =        {Nicholas J. Higham and Pythagoras Papadimitriou},
  institution =   {Manchester Centre for Computational Mathematics},
  month =         oct,
  number =        {No. 239},
  type =          {Numerical Analysis Report},
  title =         {Parallel Singular Value Decomposition via the Polar
                   Decomposition},
  year =          {1993},
}

@misc{high-mct,
  author =        {Nicholas J. Higham},
  note =
  {\url{http://www.maths.manchester.ac.uk/~higham/mctoolbox}},
  title =         {The {Matrix Computation Toolbox}},
}

@techreport{high-mct-rep,
  address =       {UK},
  author =        {Nicholas J. Higham},
  institution =   {Manchester Centre for Computational Mathematics},
  month =         aug,
  number =        {No. 410},
  pages =         {19},
  type =          {Numerical Analysis Report},
  title =         {The {Matrix Computation Toolbox} for {MATLAB}
                   (Version 1.0)},
  year =          {2002},
}

@misc{high-mft,
  author =        {Nicholas J. Higham},
  note =
  {\url{http://www.maths.manchester.ac.uk/~higham/mftoolbox}},
  title =         {The {Matrix Function Toolbox}},
}

@article{high89,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  number =        {1},
  pages =         {16},
  title =         {Matrix Computations on a {PC} (Review of {GAUSS} and
                   {PC-MATLAB})},
  volume =        {22},
  year =          {1989},
}

@article{high91,
  author =        {Nicholas J. Higham},
  journal =       {Mathematics and Statistics Newsletter of Computers in
                   Teaching Initiative},
  month =         feb,
  number =        {1},
  pages =         {4-8},
  title =         {{MATLAB}: A Tool for Teaching and Research},
  volume =        {1},
  year =          {1990},
}

@article{cahi96,
  author =        {David P. Carlisle and Nicholas J. Higham},
  journal =       {SIAM News},
  number =        {1},
  pages =         {12},
  title =         {{\LaTeXe}: {Should} You Upgrade To It?},
  volume =        {29},
  year =          {1996},
}

@article{hhk93-CERFACS,
  author =        {Sven Hammarling and Nicholas J. Higham and
                   Bo K{\aa}gstr{\"o}m},
  journal =       {SIAM News},
  month =         jul,
  pages =         {4},
  title =         {{CERFACS} Hosts Workshop on Reliability of
                   Computations},
  volume =        {26},
  year =          {1993},
}

@article{hahi96-Poster,
  author =        {Sven Hammarling and Nicholas J. Higham},
  journal =       {SIAM News},
  month =         may,
  number =        {4},
  pages =         {20, 19},
  title =         {How to Prepare a Poster},
  volume =        {29},
  year =          {1996},
  url =           {https://archive.siam.org/meetings/guidelines/poster.php},
}

@misc{hahi19b,
  author =        {Sven Hammarling and Nicholas J. Higham},
  howpublished =
  {\url{https://nla-group.org/2019/02/18/wilkinson-and-backward-error-analysis/}},
  month =         feb,
  title =         {{Wilkinson} and Backward Error Analysis},
  year =          {2019},
}

@article{high89-PC,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         jan,
  pages =         {16},
  title =         {Matrix Computations on a {PC}},
  volume =        {22},
  year =          {1989},
}

@article{high90-FMM,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         nov,
  pages =         {12+},
  title =         {Is Fast Matrix Multiplication of Practical Use?},
  volume =        {23},
  year =          {1990},
}

@article{high90-gova89,
  author =        {Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {289-292},
  title =         {Review of {``G. H. Golub and C. F. Van Loan, Matrix
                   Computations, Second Edition, Johns Hopkins
                   University Press, Baltimore, Maryland, 1989''}},
  volume =        {141},
  year =          {1990},
  doi =           {10.1016/0024-3795(90)90327-9},
}

@article{high90-goba89,
  author =        {Nicholas J. Higham},
  journal =       {The Mathematical Gazette},
  number =        {468},
  pages =         {202},
  title =         {Review of {``M. J. C. Gover and S. Barnett, eds.,
                   Applications of Matrix Theory, Oxford University
                   Press, 1989''}},
  volume =        {74},
  year =          {1990},
  doi =           {10.2307/3619410},
}

@article{high91-flpt,
  author =        {Nicholas J. Higham},
  journal =       {NA Digest},
  note =          {Electronic mail magazine:
                   \url{na.help@na-net.ornl.gov}},
  title =         {Three Measures of Precision in Floating Point
                   Arithmetic},
  volume =        {Volume 91, Issue 16},
  year =          {1991},
}

@article{high91-ALA,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         nov,
  number =        {},
  pages =         {10},
  title =         {{SIAM} Holds Fourth Applied Linear Algebra
                   Conference},
  volume =        {24},
  year =          {1991},
}

@article{high91-cp,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         jan,
  number =        {},
  pages =         {9},
  title =         {Complete Pivoting Conjecture is Disproved},
  volume =        {24},
  year =          {1991},
}

@article{high92-Golub,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         may,
  pages =         {3, 32},
  title =         {{IMA} Workshop Participants F{\^e}te {Golub} on 60th
                   Birthday},
  volume =        {25},
  year =          {1992},
}

@article{high92-LAPACK,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         may,
  pages =         {20},
  title =         {{LAPACK} Released in {March}},
  volume =        {25},
  year =          {1992},
}

@article{high92-FTP,
  author =        {Nicholas J. Higham},
  journal =       {IMA Numerical Analysis Newsletter},
  month =         oct,
  number =        {1},
  pages =         {61-64},
  title =         {The Joy of Anonymous {FTP}},
  volume =        {17},
  year =          {1992},
}

@article{high94-BibTeX,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         jan,
  pages =         {10, 11, 19},
  title =         {{\BibTeX}: A Versatile Tool for {\LaTeX} Users},
  volume =        {27},
  year =          {1994},
}

@article{high94-dict,
  author =        {Nicholas J. Higham},
  journal =       {IMA Bulletin},
  number =        {5/6},
  pages =         {81-88},
  title =         {Which Dictionary for the Mathematical Scientist?},
  volume =        {30},
  year =          {1994},
}

@article{high95-anro94,
  author =        {Nicholas J. Higham},
  journal =       {IMA Bulletin},
  number =        {7/8},
  pages =         {122-123},
  title =         {Review of {``Howard Anton and Chris Rorres,
                   Elementary Linear Algebra: {Applications} Version,
                   Seventh edition, Wiley, New York, 1994.''}},
  volume =        {31},
  year =          {1995},
}

@article{high95-LA,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         oct,
  number =        {},
  pages =         {4, 18},
  title =         {Manchester Hosts Linear Algebra Conference},
  volume =        {28},
  year =          {1995},
}

@article{high96-acta94/95,
  author =        {Nicholas J. Higham},
  journal =       {Mathematics Today},
  number =        {1/2},
  pages =         {28},
  title =         {Review of {``Acta Numerica 1994 and Acta Numerica
                   1995, Cambridge University Press''}},
  volume =        {32},
  year =          {1996},
}

@article{high96-brua95,
  author =        {Nicholas J. Higham},
  journal =       {IMA Bulletin},
  number =        {3/4},
  pages =         {60},
  title =         {Review of {``Are~Magnus Bruaset, A Survey of
                   Preconditioned Iterative Methods, volume 328 of
                   Pitman Research Notes in Mathematics. Longman
                   Scientific and Technical, Essex, UK, 1995.''}},
  volume =        {32},
  year =          {1996},
}

@article{high96-bipa94,
  author =        {Nicholas J. Higham},
  journal =       {Math. Comp.},
  number =        {214},
  pages =         {888-889},
  title =         {Review of {``Dario Bini and Victor~Y. Pan, {\em
                   Polynomial and Matrix Computations. Volume 1:
                   {Fundamental} Algorithms}, Birkh{\"{a}}user, 1994''}},
  volume =        {65},
  year =          {1996},
  doi =           {10.1090/S0025-5718-96-00724-7},
}

@article{high97-UKSIAM,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         apr,
  number =        {3},
  pages =         {3},
  title =         {Manchester Hosts Inaugural Meeting of {UK} and {Irish
                   SIAM Section}},
  volume =        {30},
  year =          {1997},
}

@article{high97-scho97,
  author =        {Nicholas J. Higham},
  journal =       {Mathematics Today},
  number =        {5},
  pages =         {161-162},
  title =         {Review of {``James R. Schott, Matrix Analysis for
                   Statistics, Wiley, 1997''}},
  volume =        {33},
  year =          {1997},
}

@article{high98-uebe97,
  author =        {Nicholas J. Higham},
  journal =       {Computational Science and Engineering},
  number =        {1},
  pages =         {79},
  title =         {Review of {``Christoph W. Ueberhuber, Numerical
                   Computation: Methods, Software and Analysis,
                   Springer-Verlag, 1997''}},
  volume =        {5},
  year =          {1998},
}

@article{high99-lax98,
  author =        {Nicholas J. Higham},
  journal =       {Bull. London Math. Soc.},
  pages =         {374-375},
  title =         {Review of {``Peter~D. Lax, Linear Algebra, Wiley,
                   1997''}},
  volume =        {31},
  year =          {1999},
}

@article{high98-NAC98,
  author =        {Nicholas J. Higham and David J. Silvester},
  journal =       {SIAM News},
  month =         sep,
  number =        {7},
  pages =         {1,8},
  title =         {``{Nothing was Ever the Same Again}''},
  volume =        {31},
  year =          {1998},
  url =           {https://archive.siam.org/news/news.php?id=868},
}

@article{high99-fbr,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         sep,
  number =        {3},
  pages =         {607-610},
  title =         {Featured Book Review: {Selected} Books on Numerical
                   Linear Algebra},
  volume =        {41},
  year =          {1999},
  doi =           {10.1137/SIREAD000041000003000605000001},
}

@article{high99-FTP99,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         dec,
  number =        {10},
  pages =         {3},
  title =         {A Fitting Tribute to a Pioneering Numerical Analyst
                   [{Cleve Moler}]},
  volume =        {32},
  year =          {1999},
  url =           {http://archive.siam.org/news/news.php?id=791},
}

@article{high00-ddsv98,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         sep,
  number =        {3},
  pages =         {529},
  title =         {Review of {``Jack~J. Dongarra, Iain~S. Duff, Danny~C.
                   Sorensen, and Henk~A. van~der Vorst, Numerical Linear
                   Algebra for High-Performance Computers, Society for
                   Industrial and Applied Mathematics, Philadelphia, PA,
                   USA, 1998''}},
  volume =        {42},
  year =          {2000},
  doi =           {10.1137/SIREAD000042000003000513000001},
}

@article{high01-alle00,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         mar,
  number =        {1},
  pages =         {202},
  title =         {Review of {``Michael Alley, The Craft of Editing: {A}
                   Guide for Managers, Scientists and Engineers.
                   Springer-Verlag, 2000''}},
  volume =        {43},
  year =          {2001},
  doi =           {10.1137/SIREAD000043000001000179000001},
}

@article{high02-over01,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         jun,
  number =        {2},
  pages =         {287-288},
  title =         {Review of {``Michael Overton, Numerical Computing
                   with {IEEE} Floating Point Arithmetic: {Including}
                   One Theorem, One Rule of Thumb, and One Hundred and
                   One Exercises. Society for Industrial and Applied
                   Mathematics, Philadelphia, PA, USA, 2001''}},
  volume =        {44},
  year =          {2002},
  doi =           {10.1137/SIREAD000044000002000279000001},
}

@article{high02-neum01,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         sep,
  number =        {3},
  pages =         {492-493},
  title =         {Review of {``Arnold Neumaier. Introduction to
                   Numerical Analysis. Cambridge University Press,
                   2001''}},
  volume =        {44},
  year =          {2002},
  doi =           {10.1137/SIREAD000044000003000477000001},
}

@article{high03-SIAGLA,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         nov,
  number =        {9},
  pages =         {3},
  title =         {{SIAG/LA} Prizewinners Speed Up the {QR} Algorithm},
  volume =        {36},
  year =          {2003},
  url =           {http://archive.siam.org/news/news.php?id=375},
}

@article{grhi04-UKIE,
  author =        {Ivan Graham and Nicholas J. Higham},
  journal =       {SIAM News},
  month =         may,
  number =        {4},
  pages =         {12},
  title =         {{UKIE} Applied/Computational Mathematicians Greet the
                   Year in {Sheffield, Manchester}},
  volume =        {37},
  year =          {2004},
  url =           {http://archive.siam.org/news/news.php?id=229},
}

@article{high05-blww04,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         jun,
  number =        {2},
  pages =         {382-383},
  title =         {Review of {``Folkmar Bornemann, Dirk Laurie, Stan
                   Wagon, and J{\"o}rg Waldvogel. The {SIAM}
                   {$100$}-Digit Challenge: {A} Study in High-Accuracy
                   Numerical Computing, 2004''}},
  volume =        {47},
  year =          {2005},
  doi =           {10.1137/SIREAD000047000002000367000001},
}

@article{high05-pl2,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         {Jul/Aug},
  number =        {6},
  pages =         {5-6},
  title =         {An Interview with {Peter Lancaster}},
  volume =        {38},
  year =          {2005},
  url =           {https://archive.siam.org/news/news.php?id=126},
}

@article{high06-laub05,
  author =        {Nicholas J. Higham},
  journal =       {SIAM Rev.},
  month =         mar,
  number =        {1},
  pages =         {170-171},
  title =         {Review of {``Alan~J. Laub. {\em Matrix Analysis for
                   Scientists and Engineers}''}},
  volume =        {48},
  year =          {2006},
  doi =           {10.1137/SIREAD000048000001000149000001},
}

@article{high06-chgo06,
  author =        {Nicholas J. Higham},
  journal =       {J. Fluid Mech.},
  pages =         {442-443},
  title =         {Review of {``Moody~T. Chu and Gene~H. Golub. {\em
                   Inverse Eigenvalue Problems: {Theory}, Algorithms,
                   and Applications}''}},
  volume =        {556},
  year =          {2006},
  doi =           {10.1017/S0022112006009943},
}

@article{high07-trem05,
  author =        {Nicholas J. Higham},
  journal =       {Bull. Amer. Math. Soc.},
  number =        {2},
  pages =         {277-284},
  title =         {Review of {``Lloyd~N. Trefethen and Mark Embree. {\em
                   Spectra and Pseudospectra: {The} Behavior of
                   Nonnormal Matrices and Operators}''}},
  volume =        {44},
  year =          {2007},
  url =           {http://www.ams.org/journals/bull/2007-44-02/S0273-0979-06-
                  01128-1/},
}

@article{high08-ghg2,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         {Jan/Feb},
  note =          {Extracts from \cite{high08-ghg}.},
  number =        {1},
  pages =         {3},
  title =         {In His Own Words [Interview with {Gene Golub}]},
  volume =        {41},
  year =          {2008},
  url =           {https://archive.siam.org/news/news.php?id=1290},
}

@misc{high14-indexes,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://sinews.siam.org/Details-Page/a-call-for-better-indexes}},
  month =         nov,
  title =         {A Call for Better Indexes},
  year =          {2014},
}

@misc{high14-unwinding,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2014/03/24/making-sense-of-multivalued-matrix-functions}},
  month =         mar,
  title =         {Making Sense of Multivalued Matrix Functions with the
                   Matrix Unwinding Function},
  year =          {2014},
}

@misc{high16-Knuth,
  author =        {Nicholas J. Higham},
  howpublished =
  {https://sinews.siam.org/Details-Page/knuth-gives-satisfaction-in-siam-von-neumann-lecture-1},
  month =         jul,
  title =         {Knuth Gives Satisfaction in {SIAM von Neumann
                   Lecture}},
  year =          {2016},
}

@misc{high16-Wilkinson,
  author =        {Sven Hammarling and Nicholas J. Higham},
  howpublished =
  {https://sinews.siam.org/Details-Page/remembering-james-hardy-wilkinson-1},
  month =         oct,
  title =         {Remembering {James Hardy Wilkinson}},
  year =          {2016},
}

@article{high16-UKSIAM,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         mar,
  number =        {2},
  pages =         {10},
  title =         {Cambridge Hosts 20th Anniversary Meeting of {UKIE
                   SIAM Section}},
  volume =        {49},
  year =          {2016},
  url =           {https://sinews.siam.org/Details-Page/cambridge-hosts-20th-
                  anniversary-meeting-of-ukie-siam-section},
}

@misc{high16-explog,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2016/03/08/the-improved-matlab-functions-expm-and-logm}},
  month =         mar,
  title =         {The Improved {MATLAB} Functions {Expm} and {Logm}},
  year =          {2016},
}

@misc{high16-sqrt,
  author =        {Nicholas J. Higham},
  howpublished =
  {\url{https://nhigham.com/2016/04/05/improved-matlab-function-sqrtm}},
  month =         apr,
  title =         {Improved {MATLAB} Function {Sqrtm}},
  year =          {2016},
}

@article{high17-evolving,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         {Jan/Feb},
  number =        {1},
  pages =         {2},
  title =         {Evolving and Innovating},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/evolving-and-
                  innovating},
}

@article{high17-conf,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         mar,
  number =        {2},
  pages =         {2},
  title =         {Telling a Good Story at Conferences},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/telling-a-good-story-
                  at-conferences},
}

@article{high17-short-codes,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         apr,
  number =        {3},
  pages =         {2-3},
  title =         {Short Codes Can Be Long on Insight},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/short-codes-can-be-
                  long-on-insight},
}

@article{high17-perfect,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         may,
  number =        {4},
  pages =         {2},
  title =         {In Search of the Perfect Numerical Analysis Textbook},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/in-search-of-the-
                  perfect-numerical-analysis-textbook},
}

@article{high17-prize,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         jun,
  number =        {5},
  pages =         {2},
  title =         {Behind the Scenes of {SIAM's} Prize Program},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/behind-the-scenes-of-
                  siams-prize-program},
}

@article{high17-wordproc,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         {Jul/Aug},
  number =        {6},
  pages =         {2, 4},
  title =         {The Evolution of Mathematical Word Processing},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/the-evolution-of-
                  mathematical-word-processing},
}

@article{high17-yellow,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         sep,
  number =        {7},
  pages =         {2},
  title =         {There's Something About Yellow},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/theres-something-about-
                  yellow},
}

@article{high17-multiprec,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         oct,
  number =        {8},
  pages =         {2},
  title =         {A Multiprecision World},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/a-multiprecision-
                  world},
}

@article{high17-orcid,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         nov,
  number =        {9},
  pages =         {2},
  title =         {{ORCID}: {A} Self-Updating Digital {CV}},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/orcid-a-self-updating-
                  digital-cv},
}

@article{high17-world,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         dec,
  number =        {10},
  pages =         {2},
  title =         {The World's Most Fundamental Matrix Equation},
  volume =        {50},
  year =          {2017},
  url =           {https://sinews.siam.org/Details-Page/the-worlds-most-
                  fundamental-matrix-equation},
}

@article{high18-snap,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         {Jan/Feb},
  number =        {1},
  pages =         {2},
  title =         {Snap to Structure},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/snap-to-structure},
}

@article{high18-style,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         mar,
  number =        {2},
  pages =         {2},
  title =         {It's a Matter of Style},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/its-a-matter-of-style},
}

@article{high18-sirev,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         apr,
  number =        {3},
  pages =         {2, 5},
  title =         {Looking Back at 60 Volumes of \emph{SIAM Review}},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/looking-back-at-60-
                  volumes-of-siam-review},
}

@article{high18-book,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         may,
  number =        {4},
  pages =         {2},
  title =         {Why to Write a Book},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/why-to-write-a-book},
}

@article{high18-diff,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         jun,
  number =        {5},
  pages =         {2},
  title =         {Differentiation With(out) a Difference},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/differentiation-
                  without-a-difference},
}

@article{high18-advance,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         {Jul/Aug},
  number =        {6},
  pages =         {2},
  title =         {Advancing {SIAM}},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/advancing-siam},
}

@article{high18-website,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         sep,
  number =        {7},
  pages =         {2},
  title =         {Exploring the New {SIAM} Website},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/exploring-the-new-siam-
                  website},
}

@article{high18-unwinding,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         oct,
  number =        {8},
  pages =         {2},
  title =         {The Unwinding Number},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/the-unwinding-number},
}

@article{high18-data-science,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         nov,
  number =        {9},
  pages =         {2},
  title =         {A Timely Focus on Data Science},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/a-timely-focus-on-data-
                  science},
}

@article{high18-bohemian,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         dec,
  number =        {10},
  pages =         {2},
  title =         {Rhapsodizing About {Bohemian} Matrices},
  volume =        {51},
  year =          {2018},
  url =           {https://sinews.siam.org/Details-Page/rhapsodizing-about-
                  bohemian-matrices},
}

@article{high19,
  author =        {Nicholas J. Higham},
  journal =       {SIAM News},
  month =         dec,
  number =        {10},
  pages =         {7},
  title =         {Pitfalls in Computation},
  volume =        {52},
  year =          {2019},
  url =           {https://sinews.siam.org/Details-Page/pitfalls-in-
                  computation},
}

@misc{hied17,
  author =        {Nicholas J. Higham and Alan Edelman},
  howpublished =
  {\url{https://nhigham.com/2017/12/11/the-strange-case-of-the-determinant-of-a-matrix-of-1s-and-1s/}},
  month =         apr,
  title =         {The Strange Case of the Determinant of a Matrix of
                   {$1$}s and {$-1$}s},
  year =          {2017},
}

@article{hish22,
  author =        {Nicholas J. Higham and Dennis Sherwood},
  journal =       {SIAM News},
  month =         jun,
  number =        {5},
  pages =         {1, 3},
  title =         {How to Boost Your Creativity},
  volume =        {55},
  year =          {2022},
  url =           {https://sinews.siam.org/Details-Page/how-to-boost-your-
                  creativity},
}