Relaxed monte carlo linear solver

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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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Tan, C. J. K., & Alexandrov, V. (2001). Relaxed monte carlo linear solver. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2073, pp. 1289–1297). Springer Verlag. https://doi.org/10.1007/3-540-45545-0_140

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