| 解一类变分不等式问题的半内点同伦方法 |
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| 引用本文： | 何非,商玉凤,吴睿.解一类变分不等式问题的半内点同伦方法[J].吉林大学学报(理学版),2022,60(1):79-0084. |
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| 作者姓名： | 何非 商玉凤 吴睿 |
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| 作者单位： | 1. 长春财经学院 数学教研部, 长春 130122； 2. 长春财经学院 经济学院, 长春 130122 |
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| 摘 要： | 求解含有等式与不等式约束条件变分不等式问题的半内点组合同伦方程, 在较弱的条件下证明从Rn内任意一点出发的同伦路径的存在性、 有界性和收敛性, 并利用数值算例验证半内点组合同伦方法求解含等式与不等式约束条件变分不等式问题的可行性和有效性.
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| 关 键 词： | 非内点同伦方法 变分不等式 全局收敛 |
| 收稿时间： | 2021-04-23 |
Semi-interior Point Homotopy Method for Solving a Class of Variational Inequality Problems |
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| HE Fei,SHANG Yufeng,WU Rui.Semi-interior Point Homotopy Method for Solving a Class of Variational Inequality Problems[J].Journal of Jilin University: Sci Ed,2022,60(1):79-0084. |
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| Authors: | HE Fei SHANG Yufeng WU Rui |
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| Institution: | 1. Department of Mathematics, Changchun University of Finance and Economics, Changchun 130122, China;
2. College of Economics, Changchun University of Finance and Economics, Changchun 130122, China |
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| Abstract: | We solved a semi-interior point combined homotopy equation for variational Inequality problems with inequality and inequality constraints. Under weak conditions, we proved the existence, boundedness and convergence of homotopy paths starting from any point in Rn, and verified the feasibility and effectiveness of the semi-interior point combined homotopy method for solving variational inequality problems with equality and inequality constraints by using numerical examples. |
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| Keywords: | non-interior homotopy method variational inequality global convergence |
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