Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods
The absolute value equations (AVEs) are significant nonlinear and non-differentiable problems that arise in the optimization community. In this article, we provide two new iteration methods for determining AVEs. These two approaches are based on the fixed point principle and splitting of the coeffic...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7934796 |
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| _version_ | 1849305070994194432 |
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| author | Rashid Ali Asad Ali Mohammad Mahtab Alam Abdullah Mohamed |
| author_facet | Rashid Ali Asad Ali Mohammad Mahtab Alam Abdullah Mohamed |
| author_sort | Rashid Ali |
| collection | DOAJ |
| description | The absolute value equations (AVEs) are significant nonlinear and non-differentiable problems that arise in the optimization community. In this article, we provide two new iteration methods for determining AVEs. These two approaches are based on the fixed point principle and splitting of the coefficient matrix with three extra parameters. The convergence of these procedures is also presented using some theorems. The validity of our methodologies is demonstrated via numerical examples. |
| format | Article |
| id | doaj-art-08dcc16714504274b3ef4b7e2c505d86 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-08dcc16714504274b3ef4b7e2c505d862025-08-20T03:55:32ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7934796Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration MethodsRashid Ali0Asad Ali1Mohammad Mahtab Alam2Abdullah Mohamed3School of Mathematics and StatisticsDepartment of MathematicsDepartment of Basic Medical SciencesResearch CentreThe absolute value equations (AVEs) are significant nonlinear and non-differentiable problems that arise in the optimization community. In this article, we provide two new iteration methods for determining AVEs. These two approaches are based on the fixed point principle and splitting of the coefficient matrix with three extra parameters. The convergence of these procedures is also presented using some theorems. The validity of our methodologies is demonstrated via numerical examples.http://dx.doi.org/10.1155/2022/7934796 |
| spellingShingle | Rashid Ali Asad Ali Mohammad Mahtab Alam Abdullah Mohamed Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods Journal of Function Spaces |
| title | Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods |
| title_full | Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods |
| title_fullStr | Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods |
| title_full_unstemmed | Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods |
| title_short | Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods |
| title_sort | numerical solution of the absolute value equations using two matrix splitting fixed point iteration methods |
| url | http://dx.doi.org/10.1155/2022/7934796 |
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