On the preconditioned MINRES method for solving singular linear systems

被引：0
作者：
Lin-Yi Hong
Nai-Min Zhang
机构：
[1] Wenzhou University,College of Mathematics and Physics
来源：
Computational and Applied Mathematics | 2022年 / 41卷
关键词：
Singular linear system; Convergence; Proper splitting; Preconditioner; 15A06; 65F10;
D O I：
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学科分类号：
摘要：
Recently, Sugihara et al. (Numer Linear Algebra Appl 27:1-25, 2020) studied the right preconditioned MINRES method for solving symmetric singular linear systems. In this paper, we discuss the left and right preconditioned MINRES method for symmetric singular linear systems with singular preconditioners. The convergence of the preconditioned MINRES method are proved under the condition of proper splitting. Numerical results demonstrate the effectiveness of the preconditioned MINRES with singular preconditioners.
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