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:
Main Authors: | , , , |
---|---|
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 |