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  • 标题:A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks
  • 本地全文:下载
  • 作者:Yuping Zeng ; Chenliang Li
  • 期刊名称:American Journal of Computational Mathematics
  • 印刷版ISSN:2161-1203
  • 电子版ISSN:2161-1211
  • 出版年度:2011
  • 卷号:1
  • 期号:4
  • 页码:252-255
  • DOI:10.4236/ajcm.2011.14030
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, we provide new preconditioner for saddle point linear systems with (1,1) blocks that have a high nullity. The preconditioner is block triangular diagonal with two variable relaxation paremeters and it is extension of results in [1] and [2]. Theoretical analysis shows that all eigenvalues of preconditioned matrix is strongly clustered. Finally, numerical tests confirm our analysis.
  • 关键词:Saddle Point Linear Systems; Block Triangular Preconditioner; Krylov Subspace Methods
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