A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910746185564160 |
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| author | Li, Xuehua Chen, Cairong |
| author_facet | Li, Xuehua Chen, Cairong |
| contents | A generalization of the Newton-based matrix splitting iteration method (GNMS) for solving the generalized absolute value equations (GAVEs) is proposed. Under mild conditions, the GNMS method converges to the unique solution of the GAVEs. Moreover, we can obtain a few weaker convergence conditions for some existing methods. Numerical results verify the effectiveness of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_09520 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations Li, Xuehua Chen, Cairong Numerical Analysis Optimization and Control A generalization of the Newton-based matrix splitting iteration method (GNMS) for solving the generalized absolute value equations (GAVEs) is proposed. Under mild conditions, the GNMS method converges to the unique solution of the GAVEs. Moreover, we can obtain a few weaker convergence conditions for some existing methods. Numerical results verify the effectiveness of the proposed method. |
| title | A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations |
| topic | Numerical Analysis Optimization and Control |
| url | https://arxiv.org/abs/2309.09520 |