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.  
Fund Project:Supported by the Strategic Programs for Innovative Research (SPIRE) Field 5 ``The origin of matter and the universe''.
Author NameAffiliation
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 
Hits: 3415
Download times: 3045
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
View Full Text  View/Add Comment