广义α-双链对角占优矩阵线性互补问题误差界的最优值  

The optimal error bounds for linear complementarity problems of generalizedα-double chain diagonally dominance matrix

作　　者：李艳艳[1] LI Yan-yan(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：《云南民族大学学报（自然科学版）》2022年第1期61-64,70,共5页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：云南省教育厅科学研究基金(2021J0759).

摘　　要：研究广义α-双链对角占优矩阵A的线性互补问题误差界的最优值,利用该类矩阵的性质和H矩阵线性互补问题的误差界经典估计式,得到了A的线性互补问题带有参数的误差界,并通过对构造的函数单调性的分析,进一步得到了该误差界的最优值.The paper studies the error bounds for linear complementarity problems of generalizedα-double chain diagonally dominance matrix A using the properties of matrix A and the classical estimator of error bounds for linear complementarity problems of H matrix. The error bounds with parameters for linear complementarity problems are obtained. The monotonicity of the constructed function is also analyzed, Furthermore, the optimal value of the error bound is obtained.

关 键 词：广义α-双链对角占优矩阵 线性互补 误差界 

分 类 号：O151.21[理学—数学]