Akira IMAKURA,Tomohiro SOGABE,张绍良.An Efficient Variant of the Restarted Shifted GMRES Method for Solving Shifted Linear Systems[J].数学研究及应用,2013,33(2):127~141
An Efficient Variant of the Restarted Shifted GMRES Method for Solving Shifted Linear Systems
An Efficient Variant of the Restarted Shifted GMRES Method for Solving Shifted Linear Systems
投稿时间:2012-04-11  最后修改时间:2012-09-04
DOI:10.3770/j.issn:2095-2651.2013.02.001
中文关键词:  shifted linear systems  the Restarted Shifted GMRES method  restart techniques.
英文关键词:shifted linear systems  the Restarted Shifted GMRES method  restart techniques.
基金项目:Supported by the Strategic Programs for Innovative Research (SPIRE) Field 5 ``The origin of matter and the universe''.
作者单位
Akira IMAKURA Center for Computational Sciences, University of Tsukuba, 1-1-1, Tennodai Tsukuba-city, Ibaraki 305-8577, Japan 
Tomohiro SOGABE Graduate School of Information Science and Technology, Aichi Prefectural University, 1522-3 Ibaragabasama, Kumabari, Nagakute-cho, Aichi-gun, Aichi, 480-1198, Japan 
张绍良 Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan 
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中文摘要:
      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.
英文摘要:
      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 {\it 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.
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