DC Programming Approach for Asymmetric Eigenvalue Complementarity Problem

机译：不对称特征值互补问题的直流规划方法

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We propose a DC (Difference of Convex fonctions) programming approach for solving asymmetric eigenvalue complementarity problem (EiCP). This problem is equivalent to a Nonlinear Program (NLP) that minimizing a nonconvex polynomial merit function on a convex set defined by linear constraints. EiCP has a solution if and only if NLP has zero global optimal value. We will reformulate the NLP as a DC Program (DCP) and then solve the later one by an efficient DC Algorithm (DCA). Some preliminary numerical results are also reported.

机译：我们提出了一种DC（凸函数的差分）编程方法来解决非对称特征值互补问题（EiCP）。此问题等效于非线性程序（NLP），它将非线性约束定义的凸集上的非凸多项式优函数最小化。当且仅当NLP的全局最优值为零时，EiCP才有解决方案。我们将把NLP重新格式化为DC程序（DCP），然后通过高效的DC算法（DCA）解决后者。还报告了一些初步的数值结果。

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来源
《The 8th international conference on optimization: Techniques and Applications》|2010年|208-209|共2页
会议地点 Shanghai(CN)
作者
Yi-Shuai NIU; Tao PHAM DINH; Hoai An LE THI; Joaquim Jo(a)o JUDICE;
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作者单位

National Institute for Applied Sciences, Rouen, France;

National Institute for Applied Sciences, Rouen, France;

University of Paul Verlaine, Metz, France;

Universidade de Coimbra and Instituto de Telecomunica(c)(o)es, Coimbra, Portugal;

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原文格式 PDF
正文语种 eng
中图分类系统优化;
关键词
DC Programming; DCA; EiCP; NLP;

机译：DC编程; DCA; EiCP; NLP;

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专利

1. Efficient DC programming approaches for the asymmetric eigenvalue complementarity problem [J] . Niu Y.S., Pham Dinh T., Le Thi H.A., Optimization methods & software . 2013,第4a6期

机译：非对称特征值互补问题的有效DC编程方法
2. A DC programming approach for solving the symmetric Eigenvalue Complementarity Problem [J] . Le Thi H.A., Moeini M., Dinh T.P., Computational optimization and applications . 2012,第3期

机译：解决对称特征值互补问题的直流编程方法
3. A DC programming approach for solving the symmetric Eigenvalue Complementarity Problem [J] . Hoai An Le Thi, Mahdi Moeini, Tao Pham Dinh, Computational Optimization and Applications . 2012,第3期

机译：解决对称特征值互补问题的直流编程方法
4. DC Programming Approach for Asymmetric Eigenvalue Complementarity Problem [C] . Yi-Shuai NIU, Tao PHAM DINH, Hoai An LE THI, International conference on optimization: Techniques and Applications . 2010

机译：非对称特征值互补问题的DC编程方法
5. A branch and cut approach to linear programs with linear complementarity constraints. [D] . Yu, Bin. 2011

机译：具有线性互补约束的线性程序的分枝和切割方法。
6. Levenberg-Marquardt Method for the Eigenvalue Complementarity Problem [O] . Yuan-yuan Chen, Yan Gao -1

机译：特征值互补问题的Levenberg-Marquardt方法
7. On the Asymmetric Eigenvalue Complementarity Problem [O] . Joaquim J. Júdice, Hanif D. Sherali, Isabel M. Ribeiro, 2009

机译：关于非对称特征值互补问题
8. A Separable Programming Approach to the Linear Complementarity Problem. [R] . Bard, J. F., Falk, J. E. 1979

机译：线性互补问题的可分编程方法。

DC Programming Approach for Asymmetric Eigenvalue Complementarity Problem

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