An Efficient Variant of the Restarted Shifted GMRES Method for Solving Shifted Linear Systems

被引：0

作者：

Akira IMAKURA ^{[1
]}

Tomohiro SOGABE ^{[2
]}

Shaoliang ZHANG ^{[3
]}

机构：

[1] Center for Computational Sciences,University of Tsukuba

[2] Graduate School of Information Science and Technology,Aichi Prefectural University

[3] Graduate School of Engineering,Nagoya

来源：

数学研究及应用 | 2013年 / 33卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O241.6 [线性代数的计算方法];

学科分类号：

摘要：

We investigate the restart of the Restarted Shifted GMRES method for solving shifted linear systems.Recently the variant of the GMRES(m) method with the unfixed update has been proposed to improve the convergence of the GMRES(m) method for solving linear systems,and shown to have an efficient convergence property.In this paper,by applying the unfixed update to the Restarted Shifted GMRES method,we propose a variant of the Restarted Shifted GMRES method.We show a potentiality for efficient convergence within the variant by some numerical results.

引用

页码：127 / 141

页数：15

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