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A generalized shift-splitting preconditioner for singular saddle point problems

delete2015-10-01
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C
Cairong Chen
C
Changfeng Ma *
DOI:10.1016/j.amc.2015.08.020delete
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摘要

摘要

En 中文
Recently, some authors (Cao et al., 2014; Chen and Ma, 2015; Salkuyeh et al., 2014) discussed the (generalized) shift-splitting preconditioner for nonsingular saddle point problems. In this paper, we further study the generalized shift-splitting preconditioner for solving singular saddle point problems with symmetric positive definite (1, 1)-block. Theoretical analysis shows that the generalized shift-splitting iteration method is unconditionally semi-convergent. Numerical experiments are given to illustrate the efficiency of the proposed preconditioner with appropriate parameters. (C) 2015 Elsevier Inc. All rights reserved.
Keyword:
Singular saddle point problem
Generalized shift-splitting
Preconditioner
Semi-convergence
Numerical test
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期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

F
Fujian Normal University
学者数:
1.2W
论文数: 8.0K
被引数: 1.3W
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