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On parallel multisplitting methods for symmetric positive semidefinite linear systems
Author(s) -
Cao Guangxi,
Song Yongzhong
Publication year - 2009
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.619
Subject(s) - invertible matrix , mathematics , positive definite matrix , linear system , diagonally dominant matrix , diagonal , algebra over a field , pure mathematics , mathematical analysis , geometry , eigenvalues and eigenvectors , physics , quantum mechanics
In this paper we propose some parallel multisplitting methods for solving consistent symmetric positive semidefinite linear systems, based on modified diagonally compensated reduction. The semiconvergence of the parallel multisplitting method is discussed. The results here generalize some known results for the nonsingular linear systems to the singular systems. Copyright © 2008 John Wiley & Sons, Ltd.