摘要
用同伦方法讨论线性互补问题解存在的条件.首先,给出与线性互补问题等价的绝对值方程,然后对绝对值方程构造同伦方程,并借助于该同伦方程给出绝对值方程解存在的一个正则性条件,该正则性条件可转化为线性互补问题解存在的条件.
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.
作者
姜兴武
姜舶洋
王秀玉
JIANG Xingwu;JIANG Boyang;WANG Xiuyu(Department of Foundation,Jilin Business and Technology College,Changchun 130507,China;Department of Information,Beijing University of Technology,Beijing 100022,China;School of Mathematics and Statistics,Changchun University of Technology,Changchun 130012,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2019年第3期535-538,共4页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11571050)
吉林省自然科学基金(批准号:20160101246JC)
关键词
绝对值方程
同伦方法
线性互补问题
absolute value equation
homotopy method
linear complementarity problem
