Journal of Advanced Simulation in Science and Engineering
Online ISSN : 2188-5303
ISSN-L : 2188-5303
Special Issue on Recent Advances in Simulation in Science and Engineering
Accuracy improvement of the Block BiCGSTAB method for linear systems with multiple right-hand sides by group-wise updating technique
Hiroto TadanoRyosei Kuramoto
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2019 Volume 6 Issue 1 Pages 100-117

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Abstract

The Block BiCGSTAB method is an efficient method for solving linear systems with multiple right-hand sides. However, when the number of right-hand sides is large, this method may not generate high accuracyapproximate solution due to an error in the computation of matrix-matrix multiplication. In this paper, in order to improve the accuracy of the approximate solution, the recursions of the Block BiCGSTAB method are reconstructed by using the group-wise updating technique. Moreover, the convergence property of the proposed method is also improved when the number of right-hand sides is large.

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© 2019 Japan Society for Simulation Technology
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