| An Efficient Variant of the Restarted Shifted GMRES Method for Solving Shifted Linear Systems |
| Received:April 11, 2012 Revised:September 04, 2012 |
| Key Words:
shifted linear systems the Restarted Shifted GMRES method restart techniques.
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| Fund Project:Supported by the Strategic Programs for Innovative Research (SPIRE) Field 5 ``The origin of matter and the universe''. |
| Author Name | Affiliation | | 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 | | Shaoliang ZHANG | Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.02.001 |
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