| 解变分不等式的一种二次投影算法 |
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| 引用本文： | 万升联.解变分不等式的一种二次投影算法[J].数学物理学报(A辑),2021(1):237-244. |
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| 作者姓名： | 万升联 |
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| 作者单位： | 四川师范大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(11871359)。 |
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| 摘 要： | 该文研究一种新的解变分不等式的二次投影算法.通过构造一类新的严格分离当前迭代和变分不等式解集的超平面,进而建立了解决伪单调变分不等式投影算法的一种新的框架.通过改进已有结果的证明方法,证明了该算法生成的无穷序列是全局收敛的,并且在局部误差和Lipschitz条件下给出了收敛率分析.
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| 关 键 词： | 变分不等式 二次投影算法 超平面 伪单调 收敛性 |
A Double Projection Algorithm for Solving Variational Inequalities |
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| Wan Shenglian.A Double Projection Algorithm for Solving Variational Inequalities[J].Acta Mathematica Scientia,2021(1):237-244. |
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| Authors: | Wan Shenglian |
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| Institution: | (Department of Mathematics,Sichuan Normal University,Chengdu 610066) |
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| Abstract: | In this paper,a new double projection algorithm for solving variational inequalities is proposed.By constructing a new class of hyperplanes that strictly separate the current iteration and variational inequality solution sets and improving proof of existing results,We prove that the infinite sequence generated by the algorithm is globally convergent,and establish the convergence rate analysis under local error and Lipschitz conditions. |
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| Keywords: | Variational inequalities Double projection algorithm Hyperplanes Pseudomonotone Convergence |
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