On Uzawa-SSI method for non-Hermitian saddle point problems

Based on the single-step iteration (SSI) method for the non-Hermitian positive definite linear systems, we propose a Uzawa-SSI method for solving the saddle point problems with non-Hermitian positive definite (1, 1) block in this paper. The convergence and semi-convergence properties of the Uzawa-SS...

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 6; pp. 7301 - 7315
Main Authors Miao, Shu-Xin, Zhang, Jing
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
convergence
saddle-point problem
semi-convergence
single-step iteration
uzawa-type method
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ISSN2473-6988
2473-6988
DOI10.3934/math.2020467

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Summary:Based on the single-step iteration (SSI) method for the non-Hermitian positive definite linear systems, we propose a Uzawa-SSI method for solving the saddle point problems with non-Hermitian positive definite (1, 1) block in this paper. The convergence and semi-convergence properties of the Uzawa-SSI method, respectively, for nonsingular and singular cases are analyzed. Numerical examples with experiments are given to show the robustness and the efficiency of Uzawa-SSI method.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020467