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  • 标题:Generalized Shift-Splitting Preconditioner for Saddle Point Problems with Block Three-by-Three Structure
  • 本地全文:下载
  • 作者:Linna Wang ; Ke Zhang
  • 期刊名称:Open Access Library Journal
  • 印刷版ISSN:2333-9705
  • 电子版ISSN:2333-9721
  • 出版年度:2019
  • 卷号:6
  • 期号:12
  • 页码:1-14
  • DOI:10.4236/oalib.1105968
  • 语种:English
  • 出版社:Scientific Research Pub
  • 摘要:We propose a generalized shift-splitting iteration method for saddle point problems with block three-by-three structure. As a new iteration method, the method converges to the unique solution of the saddle point problem unconditionally. When exploited as a preconditioner, the spectral distribu-tion of the preconditioned matrix is investigated. Numerical experiments show that the new variant is efficient in speeding up GMRES for solving the block three-by-three saddle point problem.
  • 关键词:Saddle Point ProblemGeneralized Shift-SplittingKrylov SubspaceGMRES
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