Title : ( Accelerated normal and skew-Hermitian splitting methods for positive definite linear systems )
Authors: Faezeh Toutounian Mashhad , Davod Kiani Rad ,
Full TextAbstract
َAbstract. For solving large sparse non-Hermitian positive definite linear equations, Bai, Golub and NG proposed the Hermitian and skew-Hermitian splitting methods (HSS). They recently generalized this technique to the normal and skew-Hermitian splitting methods (NSS). In this paper, we present an accelerated normal and skew-Hermitian splitting methods (ANSS) which involve two parameters for the NSS iteration. We theoretically study the convergence properties of the ANSS method. Moreover, the construction factor of ANSS iteration is derived. Numerical examples illustrating the effectiveness of ANSS iteration are presented
Keywords
, Keywords: Non, Hermitian matrix; normal matrix; Hermitian matrix; skew, Hermitian matrix; splitting iteration method;
@inproceedings{paperid:1028911,
author = {Toutounian Mashhad, Faezeh and Kiani Rad, Davod},
title = {Accelerated normal and skew-Hermitian splitting methods for positive definite linear systems},
booktitle = {ششمین سمینار بین المللی جبر خطی و کاربردها},
year = {2011},
location = {اراک, IRAN},
keywords = {Keywords: Non-Hermitian matrix; normal matrix; Hermitian matrix; skew-
Hermitian matrix; splitting iteration method;},
}
%0 Conference Proceedings
%T Accelerated normal and skew-Hermitian splitting methods for positive definite linear systems
%A Toutounian Mashhad, Faezeh
%A Kiani Rad, Davod
%J ششمین سمینار بین المللی جبر خطی و کاربردها
%D 2011
