A class of maximum-based iteration methods for the generalized absolute value equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909173792374784 |
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| author | Wu, Shiliang Han, Deren Li, Cuixia |
| author_facet | Wu, Shiliang Han, Deren Li, Cuixia |
| contents | In this paper, by using $|x|=2\max\{0,x\}-x$, a class of maximum-based iteration methods is established to solve the generalized absolute value equation $Ax-B|x|=b$. Some convergence conditions of the proposed method are presented. By some numerical experiments, the effectiveness and feasibility of the proposed method are confirmed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11822 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A class of maximum-based iteration methods for the generalized absolute value equation Wu, Shiliang Han, Deren Li, Cuixia Numerical Analysis In this paper, by using $|x|=2\max\{0,x\}-x$, a class of maximum-based iteration methods is established to solve the generalized absolute value equation $Ax-B|x|=b$. Some convergence conditions of the proposed method are presented. By some numerical experiments, the effectiveness and feasibility of the proposed method are confirmed. |
| title | A class of maximum-based iteration methods for the generalized absolute value equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2404.11822 |