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Several variants of the Hermitian and skew‐Hermitian splitting method for a class of complex symmetric linear systems
Author(s) -
Wu ShiLiang
Publication year - 2015
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.1952
Subject(s) - hermitian matrix , mathematics , hermitian function , class (philosophy) , linear system , skew , skew symmetric matrix , pure mathematics , symmetric matrix , mathematical analysis , computer science , physics , square matrix , artificial intelligence , telecommunications , eigenvalues and eigenvectors , quantum mechanics
Summary This paper is concerned with several variants of the Hermitian and skew‐Hermitian splitting iteration method to solve a class of complex symmetric linear systems. Theoretical analysis shows that several Hermitian and skew‐Hermitian splitting based iteration methods are unconditionally convergent. Numerical experiments from an n ‐degree‐of‐freedom linear system are reported to illustrate the efficiency of the proposed methods. Copyright © 2014 John Wiley & Sons, Ltd.