On the convergence of iterative methods for semidefinite linear systems

Young Ju Lee; Jinbiao Wu; Jinchao Xu; Ludmil Zikatanov

doi:10.1137/050644197

On the convergence of iterative methods for semidefinite linear systems

Young Ju Lee
, Jinbiao Wu
, Jinchao Xu
, Ludmil Zikatanov

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

Necessary and sufficient conditions for the energy norm convergence of the classical iterative methods for semidefinite linear systems are obtained in this paper. These new conditions generalize the classic notion of the P-regularity introduced by Keller [J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 2 (1965), pp. 281-290].

Original language	English (US)
Pages (from-to)	634-641
Number of pages	8
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	28
Issue number	3
DOIs	https://doi.org/10.1137/050644197
State	Published - 2006

All Science Journal Classification (ASJC) codes

Analysis

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10.1137/050644197

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title = "On the convergence of iterative methods for semidefinite linear systems",

abstract = "Necessary and sufficient conditions for the energy norm convergence of the classical iterative methods for semidefinite linear systems are obtained in this paper. These new conditions generalize the classic notion of the P-regularity introduced by Keller [J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 2 (1965), pp. 281-290].",

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AU - Lee, Young Ju

AU - Wu, Jinbiao

AU - Xu, Jinchao

AU - Zikatanov, Ludmil

PY - 2006

Y1 - 2006

N2 - Necessary and sufficient conditions for the energy norm convergence of the classical iterative methods for semidefinite linear systems are obtained in this paper. These new conditions generalize the classic notion of the P-regularity introduced by Keller [J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 2 (1965), pp. 281-290].

AB - Necessary and sufficient conditions for the energy norm convergence of the classical iterative methods for semidefinite linear systems are obtained in this paper. These new conditions generalize the classic notion of the P-regularity introduced by Keller [J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 2 (1965), pp. 281-290].

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UR - https://www.scopus.com/pages/publications/34547210117#tab=citedBy

U2 - 10.1137/050644197

DO - 10.1137/050644197

M3 - Article

AN - SCOPUS:34547210117

SN - 0895-4798

VL - 28

SP - 634

EP - 641

JO - SIAM Journal on Matrix Analysis and Applications

JF - SIAM Journal on Matrix Analysis and Applications

IS - 3

ER -

On the convergence of iterative methods for semidefinite linear systems

Abstract

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