Properties of the merit functions via SQP method for variational inequality problem

Wenling Zhao; Bingzhuang Liu; Zhenhua Li

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Properties of the merit functions via SQP method for variational inequality problem

机译：通过SQP方法求解变分不等式问题的价值函数的性质

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摘要

In this paper, we define a merit function utilizing sequential quadratic programming method for variational inequality problems, and study some properties of the merit functions.

机译：在本文中，我们使用序贯二次规划方法定义了变分不等式问题的绩效函数，并研究了绩效函数的一些性质。

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《Energy education science and technology》 |2013年第4期|2781-2786|共6页
作者
Wenling Zhao; Bingzhuang Liu; Zhenhua Li;
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作者单位

College of Science, Shandong University of Technology, Zibo, 255049, Shandong, People's Republic of China;

College of Science, Shandong University of Technology, Zibo, 255049, Shandong, People's Republic of China;

College of Science, Shandong University of Technology, Zibo, 255049, Shandong, People's Republic of China;

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原文格式 PDF
正文语种 eng
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关键词
Variational inequality problem; SQP method; SQP subproblem; Merit function;

机译：变分不平等问题;SQP方法;SQP子问题;功绩功能;

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专利

1. NEW SIMPLE SMOOTH MERIT FUNCTION FOR BOX CONSTRAINED VARIATIONAL INEQUALITIES AND DAMPED NEWTON TYPE METHOD [J] . Ulji, CHEN Guo-qing 应用数学和力学（英文版） . 2005,第008期

机译：箱约束变分不等式的新的光滑平稳函数和阻尼牛顿型方法
2. A New Unconstrained Differentiable Merit Function For Box Constrained Variational Inequality Problems and A Damped Gauss-Newton Method [J] . Defeng Sun, Robert S. Womersley SIAM Journal on Optimization: A Publication of the Society for Industrial and Applied Mathematics . 1999,第2期

机译：箱约束变分不等式问题的新无约束微分功函数和阻尼高斯-牛顿法
3. Merit function and error bound via SQP method and their applications [J] . R. Bhardwaj, S. S. Rajput, S. Choudhary, International journal of mathematical analysis . 2008,第9a12期

机译：通过SQP方法的功绩函数和错误约束及其应用
4. A SQP-Augmented Lagrangian Method for Optimal Control of Semilinear Elliptic Variational Inequalities [C] . M. Bergounioux, M. Haddou International Conference on Control of Distributed Parameter Systems . 2002

机译：半线性椭圆变分不等式最优控制的SQP增强拉格朗日方法
5. On merit functions, error bounds, minimizing and stationary sequences for nonsmooth variational inequality problems [D] . Tan, Lulin 2006

机译：关于优点函数，误差范围，最小化和平稳序列，用于非光滑变分不等式问题
6. An SQP method for mathematical programs with vanishing constraints with strong convergence properties [O] . Matúš Benko, Helmut Gfrerer -1

机译：具有消失性强且收敛性强的数学程序的SQP方法
7. A new merit function and an SQP method for non-strictly monotone variational inequalities [O] . G. Di Pillo, F. Giannessi, Michael Patriksson 1998

机译：非严格单调变分不等式的新优点函数和SQP方法
8. Merit Function for Inequality Constrained Nonlinear Programming Problems [R] . Boggs, P. T., Tolle, J. W., Kearsley, A. J. 1991

机译：不等式约束非线性规划问题的优值函数

Properties of the merit functions via SQP method for variational inequality problem

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