An inverse-free fixed-time stable dynamical system and its forward-Euler discretization for solving generalized absolute value equations
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912717980303360 |
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| author | Li, Xuehua Chen, Linjie Yu, Dongmei Chen, Cairong Han, Deren |
| author_facet | Li, Xuehua Chen, Linjie Yu, Dongmei Chen, Cairong Han, Deren |
| contents | An inverse-free dynamical system is proposed to solve the generalized absolute value equation (GAVE) with a fixed time convergence, where the time of convergence is finite and is uniformly bounded for all initial points. Moreover, an iterative method obtained by using the forward-Euler discretization of the proposed dynamic model is developed and sufficient conditions which guarantee that the discrete iteration globally converge to an arbitrarily small neighborhood of the unique solution of GAVE within a finite number of iterative steps are given. Numerical results illustrate the effectiveness of the proposed methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00531 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An inverse-free fixed-time stable dynamical system and its forward-Euler discretization for solving generalized absolute value equations Li, Xuehua Chen, Linjie Yu, Dongmei Chen, Cairong Han, Deren Numerical Analysis Optimization and Control An inverse-free dynamical system is proposed to solve the generalized absolute value equation (GAVE) with a fixed time convergence, where the time of convergence is finite and is uniformly bounded for all initial points. Moreover, an iterative method obtained by using the forward-Euler discretization of the proposed dynamic model is developed and sufficient conditions which guarantee that the discrete iteration globally converge to an arbitrarily small neighborhood of the unique solution of GAVE within a finite number of iterative steps are given. Numerical results illustrate the effectiveness of the proposed methods. |
| title | An inverse-free fixed-time stable dynamical system and its forward-Euler discretization for solving generalized absolute value equations |
| topic | Numerical Analysis Optimization and Control |
| url | https://arxiv.org/abs/2507.00531 |