Iterative Methods with Preconditioners for Indefinite Systems

Iterative Methods with Preconditioners for Indefinite Systems

Year:    1999

Author:    Wei-Qing Ren, Jin-Xi Zhao

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 1 : pp. 89–96

Abstract

For the sparse linear equations $Kx=b$, where $K$ arising from optimization and discretization of some PDEs is symmetric and indefinite, it is shown that the $L \overline{L}^T $ factorization can be used to provide an "exact" preconditioner for SYMMLQ and UZAWA algorithms. "Inexact" preconditioner derived from approximate factorization is used in the numerical experiments.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JCM-9084

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 1 : pp. 89–96

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Generalized condition number Indefinite systems Factorization method.

Author Details

Wei-Qing Ren

Jin-Xi Zhao