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A simple implementation for Jacobi algorithm using OpenMP (C++) for solving diagonally dominant systems of linear equations.

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Parallel Implementation for Jacobi Algorithm – A Tiny Survey

The survey was made possible by testing the program on 3x3 and 4x4 diagonally dominant matrixes.

Time here is not optimal and may be different from a device to another.

Execution Time Values

Input size: 3x3

Number of Threads Execution time (MS)
2 8 MS
3 6 MS
4 3 MS
5 11 MS
7 9 MS
10 9 MS
15 10 MS

Input size: 4x4

Number of Threads Execution time (MS)
2 8 MS
3 7 MS
4 5 MS
5 11 MS
7 12 MS
10 11 MS
15 11 MS

Speed Up Values (With averaging the parallel execution times)

3x3 input: 11 MS / 8 MS = 1.37

4x4 input: 12 MS / 9.28 MS = 1.29

Notes

The time calculation was recorded for running the algorithm only without calculating the time that was taken by the diagonally dominant checking method.

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A simple implementation for Jacobi algorithm using OpenMP (C++) for solving diagonally dominant systems of linear equations.

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