The modification of the generalized gauss-seidel iteration techniques for absolute value equations

This paper proposes two modified generalized Gauss-Seidel iteration techniques to determine the Absolute Value Equations (AVEs). Convergence of the new techniques is established under some appropriate conditions lastly; several numerical examples verify the significance of the techniques.

Saved in:
Bibliographic Details
Main Authors: Rashid Ali, Ashfaq Ahmad, Ijaz Ahmad, Asad Ali
Format: Article
Language:English
Published: REA Press 2022-12-01
Series:Computational Algorithms and Numerical Dimensions
Subjects:
Online Access:https://www.journal-cand.com/article_157605_087a4409655e070e16d7980cf292b9d4.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832580013297238016
author Rashid Ali
Ashfaq Ahmad
Ijaz Ahmad
Asad Ali
author_facet Rashid Ali
Ashfaq Ahmad
Ijaz Ahmad
Asad Ali
author_sort Rashid Ali
collection DOAJ
description This paper proposes two modified generalized Gauss-Seidel iteration techniques to determine the Absolute Value Equations (AVEs). Convergence of the new techniques is established under some appropriate conditions lastly; several numerical examples verify the significance of the techniques.
format Article
id doaj-art-2d72aa96755044ef97d4dd53ae989862
institution Kabale University
issn 2980-7646
2980-9320
language English
publishDate 2022-12-01
publisher REA Press
record_format Article
series Computational Algorithms and Numerical Dimensions
spelling doaj-art-2d72aa96755044ef97d4dd53ae9898622025-01-30T11:21:06ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202022-12-011413013610.22105/cand.2022.157605157605The modification of the generalized gauss-seidel iteration techniques for absolute value equationsRashid Ali0Ashfaq Ahmad1Ijaz Ahmad2Asad Ali3School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan P.R. China.School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan P.R. China.School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan P.R. China.School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan P.R. China.This paper proposes two modified generalized Gauss-Seidel iteration techniques to determine the Absolute Value Equations (AVEs). Convergence of the new techniques is established under some appropriate conditions lastly; several numerical examples verify the significance of the techniques.https://www.journal-cand.com/article_157605_087a4409655e070e16d7980cf292b9d4.pdfgauss-seidel iteration techniquesconvergenceabsolute value equationsnumerical examples
spellingShingle Rashid Ali
Ashfaq Ahmad
Ijaz Ahmad
Asad Ali
The modification of the generalized gauss-seidel iteration techniques for absolute value equations
Computational Algorithms and Numerical Dimensions
gauss-seidel iteration techniques
convergence
absolute value equations
numerical examples
title The modification of the generalized gauss-seidel iteration techniques for absolute value equations
title_full The modification of the generalized gauss-seidel iteration techniques for absolute value equations
title_fullStr The modification of the generalized gauss-seidel iteration techniques for absolute value equations
title_full_unstemmed The modification of the generalized gauss-seidel iteration techniques for absolute value equations
title_short The modification of the generalized gauss-seidel iteration techniques for absolute value equations
title_sort modification of the generalized gauss seidel iteration techniques for absolute value equations
topic gauss-seidel iteration techniques
convergence
absolute value equations
numerical examples
url https://www.journal-cand.com/article_157605_087a4409655e070e16d7980cf292b9d4.pdf
work_keys_str_mv AT rashidali themodificationofthegeneralizedgaussseideliterationtechniquesforabsolutevalueequations
AT ashfaqahmad themodificationofthegeneralizedgaussseideliterationtechniquesforabsolutevalueequations
AT ijazahmad themodificationofthegeneralizedgaussseideliterationtechniquesforabsolutevalueequations
AT asadali themodificationofthegeneralizedgaussseideliterationtechniquesforabsolutevalueequations
AT rashidali modificationofthegeneralizedgaussseideliterationtechniquesforabsolutevalueequations
AT ashfaqahmad modificationofthegeneralizedgaussseideliterationtechniquesforabsolutevalueequations
AT ijazahmad modificationofthegeneralizedgaussseideliterationtechniquesforabsolutevalueequations
AT asadali modificationofthegeneralizedgaussseideliterationtechniquesforabsolutevalueequations