Solving Systems of Linear Equations with Relaxed Monte Carlo Method |
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| Authors: | Tan Chih Jeng Kenneth |
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| Affiliation: | (1) School of Computer Science, The Queen's University of Belfast, Belfast BT7 1NN, Northern Ireland, United Kingdom |
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| Abstract: | The problem of solving systems of linear algebraic equations by parallel Monte Carlo numerical methods is considered. A parallel Monte Carlo method with relaxation is presented. This is a report of a research in progress, showing the effectiveness of this algorithm. Theoretical justification of this algorithm and numerical experiments are presented. The algorithms were implemented on a cluster of workstations using MPI. |
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| Keywords: | Monte Carlo method linear solver systems of linear algebraic equations parallel algorithms |
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