A class of matrix splitting-based fixed-point iteration method for the vertical nonlinear complementarity problem
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912187692351488 |
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| author | Yapeng, Wang Xuewen, Mu |
| author_facet | Yapeng, Wang Xuewen, Mu |
| contents | In this paper, we propose a class of matrix splitting-based fixed-point iteration (FPI) methods for solving the vertical nonlinear complementarity problem (VNCP). Under appropriate conditions, we present two convergence results obtained using different techniques and estimate the number of iterations required for the FPI method. Additionally, through numerical experiments, we demonstrated that the FPI method surpasses other methods in computational efficiency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07873 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of matrix splitting-based fixed-point iteration method for the vertical nonlinear complementarity problem Yapeng, Wang Xuewen, Mu Optimization and Control 65H10 65L20 90C05 90C30 In this paper, we propose a class of matrix splitting-based fixed-point iteration (FPI) methods for solving the vertical nonlinear complementarity problem (VNCP). Under appropriate conditions, we present two convergence results obtained using different techniques and estimate the number of iterations required for the FPI method. Additionally, through numerical experiments, we demonstrated that the FPI method surpasses other methods in computational efficiency. |
| title | A class of matrix splitting-based fixed-point iteration method for the vertical nonlinear complementarity problem |
| topic | Optimization and Control 65H10 65L20 90C05 90C30 |
| url | https://arxiv.org/abs/2501.07873 |