A splitting method for complex symmetric indefinite linear system

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• 作者：Shi-Liang Wu ; ^{wushiliang1999@126.com" class="auth_mail" title="E-mail the corresponding author} ; ^{slwu@aynu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Cui-Xia Li
• 关键词：65F10 ; 65F50
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：313
• 期：Complete
• 页码：343-354
• 全文大小：447 K

文摘

In this paper, not requiring that the Hermitian part of the complex symmetric linear system must be Hermitian positive definite, a class of splitting methods is established by the modified positive/negative-stable splitting (PNS) of the coefficient matrix and is called the MPNS method. Theoretical analysis shows that the MPNS method is absolutely convergent under proper conditions. Some useful properties of the corresponding MPNS-preconditioned matrix are obtained. Numerical experiments are reported to illustrate the efficiency of both the MPNS method and the MPNS preconditioner.