线性互补问题解存在的一个正则性条件

Abstract

Abstract: The homotopy method was used to discuss the existence conditions of a solution of linear complementarity problems. First,
the absolute value equations equivalent to linear complementarity problem was given. Then, the homotopy equation was constructed for the absolute value equation, and a regularity condition for the existence of solutions of absolute value equations was given by means of this homotopy equation, which can be transformed into a condition for the existence of solutions of linear complementarity problems.

Key words: absolute value equation, homotopy method, linear complementarity problem

CLC Number:

O221

JIANG Xingwu, JIANG Boyang, WANG Xiuyu. A Regularity Condition for Existence of Solution of Linear Complementarity Problem[J].Journal of Jilin University Science Edition, 2019, 57(3): 535-538.

[1]	LV Hongbin, YANG Zhongpeng, CHEN Meixiang, WANG Xinchun. Generalized Cubic Matrix Solutions to Matrix Equation A+X=AX and Solutions to Absolute Value Equation#br# [J]. Journal of Jilin University Science Edition, 2020, 58(3): 498-506.
[2]	FENG Jingmei, LIU Sanyang. Seeker Algorithm Based on Simplex Method for LocalOptimization to Solve Absolute Value Equations [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1075-10880.
[3]	JIANG Xingwu, JIANG Boyang, YANG Xueying, WANG Xiuyu. Based on Homotopy Method to Construct Existence Conditionof Solution of Absolute Value Equation#br# [J]. Journal of Jilin University Science Edition, 2018, 56(6): 1397-1401.
[4]	JIANG Xingwu, JIANG Boyang, WANG Xiuyu. Exceptional Family of Elements and Existence Conditionof Solution for Absolute Value Equation [J]. Journal of Jilin University Science Edition, 2017, 55(05): 1184-1186.
[5]	YANG Taishan, JIANG Boyang. A Condition for Existence of a Solution ofImplicit Linear Complementarity Problems [J]. Journal of Jilin University Science Edition, 2017, 55(02): 262-266.
[6]	LIU Ming, WANG Mingming, WANG Xiuyu. Condition for Existence of a Solution ofLinear Complementarity Problem [J]. Journal of Jilin University Science Edition, 2017, 55(01): 29-32.
[7]	FENG Jingmei, LIU Sanyang. Particle Swarm Optimization Algorithm Based on Inertia WeightExponentially Decreasing for Solving Absolute Value Equations [J]. Journal of Jilin University Science Edition, 2016, 54(06): 1265-1269.
[8]	WANG Lei, WANG Xiuyu. Existence Condition of a Solution of Generalized Linear Complementarity Problems [J]. Journal of Jilin University Science Edition, 2016, 54(06): 1277-1281.
[9]	QU Hongyan, GUAN Lihong, WANG Mingming, WANG Xiuyu. Existence Condition of a Solution of GeneralVariational Inequality Problem [J]. Journal of Jilin University Science Edition, 2015, 53(06): 1197-1200.
[10]	YANG Taishan, WANG Xiuyu, JIANG Boyang. Existence Condition of a Solution of the Mixed Linear Complementarity Problem [J]. Journal of Jilin University Science Edition, 2015, 53(02): 251-254.
[11]	YANG Ce, WANG Qian, JIANG Xingwu. Homotopy Method of the Generalized HorizontalComplementarity Problems [J]. Journal of Jilin University Science Edition, 2015, 53(01): 41-44.
[12]	YONG Longquan, LIU Sanyang, XIONG Wentao, CHI Xiaoni. Numerical Solution for TwoPoint Boundary Value Problem ofSecondOrder Linear Ordinary Differential Equation [J]. Journal of Jilin University Science Edition, 2015, 53(01): 15-20.
[13]	LAN Min, JIANG Boyang, JIANG Xingwu. An Existence Condition of Solution of Absolute Value Equation [J]. Journal of Jilin University Science Edition, 2015, 53(01): 77-79.
[14]	LIU Wei, XUE Dongmei. Complexity Analysis for the Homotopy Method of Non-convexProgramming under Normal Cone Conditions [J]. Journal of Jilin University Science Edition, 2014, 52(06): 1203-1206.
[15]	WANG Xiuyu, XU Weihua, JIANG Xingwu, DAI Jiaxuan. Homotopy Method for Multiobjective Programming Problems [J]. Journal of Jilin University Science Edition, 2014, 52(06): 1176-1180.

A Regularity Condition for Existence of Solution of Linear Complementarity Problem

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10