A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks

Zeng, Yuping and Li, Chenliang (2011) A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks. American Journal of Computational Mathematics, 01 (04). pp. 252-255. ISSN 2161-1203

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Abstract

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.

Item Type: Article
Subjects: Science Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 22 Jun 2023 04:52
Last Modified: 20 Oct 2023 03:53
URI: http://research.manuscritpub.com/id/eprint/2502

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