摘要
讨论线性互补问题解的存在性。证明关于解的唯一性定理。用反例表明：对于线性互补问题解的存在性，“Ｍ是半正定矩阵”既不是充分条件，也不是必要条件。
This paper deals with the existence of the solution for linear complementaryproblem.The uniqueness theorem of the solution for linear complementary prob-lem is proved.Two examples are given. They show that“M is positive semidefi-nite” neither suficient nor necessary condition for the existence to the solution of linear complementary problem.
出处
《应用数学和力学》
EI
CSCD
北大核心
1995年第7期641-644,共4页
Applied Mathematics and Mechanics
关键词
线性互补问题
存在性
凸二次规划
数学规划
解
linear complementary problem, complementary basic feasible solution,existence, Lemke's complementary pivoting algorithm
