Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:260

Article

Wu, Shi-Liang¹  Li, Cui-Xia¹ 

[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, South Korea

关键词: Preconditioner;    Saddle point systems;    Eigenvalue;   

DOI  :  10.1016/j.cam.2013.10.009

来源: Elsevier

【 摘 要 】

In this paper, an indefinite block triangular preconditioner for symmetric saddle point problems is discussed. The bounds for all the real eigenvalues of the preconditioned matrix are provided, and the bounds for the real and imaginary parts of all the complex eigenvalues of the preconditioned matrix are also provided. The corresponding theoretical results of paper by Bergamaschi (2012) are improved. Numerical experiments are reported to confirm our theoretical results. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

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