Year: 2020
Author: Li-Dan Liao, Guo-Feng Zhang, Xiang Wang
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 520–531
Abstract
We use extrapolation acceleration technique to speed up the preconditioned square block matrix splitting iteration method for two-by-two block linear systems. It is shown that for relaxation parameter $ω$ = 4/3, the convergence factor of the iteration method under consideration is 1/3. This yields the robustness and efficiency of the method. Numerical examples confirm the theoretical results and demonstrate the effectiveness of the approach developed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.280519.180120
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 520–531
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: PRESB preconditioner two-by-two block matrix spectral radius iteration method convergence factor.
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