On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations

Abstract In this paper, based on the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method, the nonlinear MHSS-like iteration method is presented to solve a class of the weakly absolute value equations (AVE). By using a smoothing approximate function, the convergence properties of...

Full description

Bibliographic Details
Main Author:	Cui-Xia Li
Format:	Article
Language:	English
Published:	SpringerOpen 2016-10-01
Series:	Journal of Inequalities and Applications
Subjects:	absolute value equation MHSS iteration convergence smoothing approximate function
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1202-1

id	doaj-e40d2f5a595f497faf2e0ca2c5ab8e6f
record_format	Article
spelling	doaj-e40d2f5a595f497faf2e0ca2c5ab8e6f2020-11-24T23:46:04ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-10-012016111010.1186/s13660-016-1202-1On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equationsCui-Xia Li0School of Mathematics and Statistics, Anyang Normal UniversityAbstract In this paper, based on the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method, the nonlinear MHSS-like iteration method is presented to solve a class of the weakly absolute value equations (AVE). By using a smoothing approximate function, the convergence properties of the nonlinear MHSS-like iteration method are presented. Numerical experiments are reported to illustrate the feasibility, robustness, and effectiveness of the proposed method.http://link.springer.com/article/10.1186/s13660-016-1202-1absolute value equationMHSS iterationconvergencesmoothing approximate function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Cui-Xia Li
spellingShingle	Cui-Xia Li On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations Journal of Inequalities and Applications absolute value equation MHSS iteration convergence smoothing approximate function
author_facet	Cui-Xia Li
author_sort	Cui-Xia Li
title	On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations
title_short	On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations
title_full	On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations
title_fullStr	On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations
title_full_unstemmed	On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations
title_sort	on the modified hermitian and skew-hermitian splitting iteration methods for a class of weakly absolute value equations
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-10-01
description	Abstract In this paper, based on the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method, the nonlinear MHSS-like iteration method is presented to solve a class of the weakly absolute value equations (AVE). By using a smoothing approximate function, the convergence properties of the nonlinear MHSS-like iteration method are presented. Numerical experiments are reported to illustrate the feasibility, robustness, and effectiveness of the proposed method.
topic	absolute value equation MHSS iteration convergence smoothing approximate function
url	http://link.springer.com/article/10.1186/s13660-016-1202-1
work_keys_str_mv	AT cuixiali onthemodifiedhermitianandskewhermitiansplittingiterationmethodsforaclassofweaklyabsolutevalueequations
_version_	1725494783643746304

On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations

Similar Items