Modified Block Symmetric SOR Preconditioners for Large Sparse Saddle-Point Problems-Reference-Cited by-同舟云学术

Modified Block Symmetric SOR Preconditioners for Large Sparse Saddle-Point Problems

Published:2012-12 Issue: Volume:241-244 Page:2583-2586
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Zhang Li Tao¹,Cheng Shao Hua¹

Affiliation:

1. Zhengzhou Institute of Aeronautical Industry Management

Abstract

In this paper, based on the preconditioners presented by Wang [On hybrid preconditioning methods for large sparse saddle-point problems, Linear Algebra Appl., 434 (2011) 2353-2366], we introduce and study the block symmetric SOR (BSSOR) and the modified block symmetric SOR (MBSSOR) preconditioners for the block traingular product approximation to a 2-by-2 block matrix and these preconditioners are the generalization of BSGS and MBSGS preconditioners presented by Wang. Moreover, we analyse the properties of the corresponding preconditioned matrices.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.241-244.2583.pdf

Reference6 articles.

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4. Z.Z. Bai, B.N. Parlett, Z.Q. Wang, On generalized successive over relaxation methods for augmented linear systems, Numer. Math., 102 (2005) 1-38.

5. H.A. Van der Vorst, Iterative Krylov Methods for Large Linear Systems, Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press, Cambridge, UK, (2003).

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