广义α-双链对角占优矩阵线性互补问题误差界的最优值  

Optimal Values of Error Bounds for Linear Complementarity Problems of Generalized α -Double Chain Diagonally Dominance Matrix

作　　者：李艳艳[1] LI Yanyan(School of Mathematics, Wenshan University, Wenshan 663099, China)

机构地区：[1]文山学院数学学院,云南文山663099

出　　处：《沈阳大学学报（自然科学版）》2020年第2期179-182,共4页Journal of Shenyang University：Natural Science

基　　金：云南省教育厅基金资助项目(2018JS491).

摘　　要：研究广义α -双链对角占优矩阵A的线性互补问题的误差界,利用该类矩阵的性质和主对角元素为正的H矩阵线性互补问题的误差界经典估计式,得到了A的线性互补问题的误差界,并通过对构造的函数的单调性的分析,进一步得到了该误差界的最优值.The error bound of the linear complementarity problem of the generalized α -double chain diagonally dominant matrix A was studied. Using the properties of this type of matrix and the classical error bound of the H-matrix linear complementarity problem with positive main diagonal elements, the error bound of the linear complementarity problem of A was obtained. By analyzing the monotonicity of the constructed function, the optimal value of the error bound was further obtained.

关 键 词：广义α-双链对角占优矩阵 线性互补 误差界 H矩阵 最优值 

分 类 号：O151.21[理学—数学]