Gauss Quadrature Method for System of Absolute Value Equations
In this paper, an iterative method was considered for solving the absolute value equation (AVE). We suggest a two-step method in which the well-known Gauss quadrature rule is the corrector step and the generalized Newton method is taken as the predictor step. The convergence of the proposed method i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/9/2069 |
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| author | Lei Shi Javed Iqbal Faiqa Riaz Muhammad Arif |
| author_facet | Lei Shi Javed Iqbal Faiqa Riaz Muhammad Arif |
| author_sort | Lei Shi |
| collection | DOAJ |
| description | In this paper, an iterative method was considered for solving the absolute value equation (AVE). We suggest a two-step method in which the well-known Gauss quadrature rule is the corrector step and the generalized Newton method is taken as the predictor step. The convergence of the proposed method is established under some acceptable conditions. Numerical examples prove the consistency and capability of this new method. |
| first_indexed | 2024-03-11T04:12:53Z |
| format | Article |
| id | doaj.art-124d091b3cd64b33b0f89e88a7bb9da8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T04:12:53Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-124d091b3cd64b33b0f89e88a7bb9da82023-11-17T23:19:35ZengMDPI AGMathematics2227-73902023-04-01119206910.3390/math11092069Gauss Quadrature Method for System of Absolute Value EquationsLei Shi0Javed Iqbal1Faiqa Riaz2Muhammad Arif3School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, ChinaDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanIn this paper, an iterative method was considered for solving the absolute value equation (AVE). We suggest a two-step method in which the well-known Gauss quadrature rule is the corrector step and the generalized Newton method is taken as the predictor step. The convergence of the proposed method is established under some acceptable conditions. Numerical examples prove the consistency and capability of this new method.https://www.mdpi.com/2227-7390/11/9/2069Gauss quadrature methodabsolute value equationconvergence analysisnumerical analysisEuler–Bernoulli equation |
| spellingShingle | Lei Shi Javed Iqbal Faiqa Riaz Muhammad Arif Gauss Quadrature Method for System of Absolute Value Equations Mathematics Gauss quadrature method absolute value equation convergence analysis numerical analysis Euler–Bernoulli equation |
| title | Gauss Quadrature Method for System of Absolute Value Equations |
| title_full | Gauss Quadrature Method for System of Absolute Value Equations |
| title_fullStr | Gauss Quadrature Method for System of Absolute Value Equations |
| title_full_unstemmed | Gauss Quadrature Method for System of Absolute Value Equations |
| title_short | Gauss Quadrature Method for System of Absolute Value Equations |
| title_sort | gauss quadrature method for system of absolute value equations |
| topic | Gauss quadrature method absolute value equation convergence analysis numerical analysis Euler–Bernoulli equation |
| url | https://www.mdpi.com/2227-7390/11/9/2069 |
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