B-矩阵线性互补问题解的误差界改进的估计式  

Improved Estimations of Error Bounds for Linear Complementarity Solution to B-matrices Problems

作　　者：周平 ZHOU Ping(College of Mathematics and Engineering,Wenshan University,Wenshan 663099,Yunnan,China)

机构地区：[1]文山学院数学与工程学院

出　　处：《兰州文理学院学报（自然科学版）》2020年第1期8-10,35,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金(11361074);文山学院科学研究基金(2018Y04)

摘　　要：基于B-矩阵的定义和特征,对它进行了一定的变换和构造,进而转化为严格对角占优M-矩阵,借助前人给出的该矩阵的逆的无穷范数的上界,并结合不等式的放缩技巧,获得了B-矩阵线性互补问题解的误差界的改进的估计式,通过理论分析和算例验证该结果的有效性.B-matrices has been transformed and constructed in the light of the definition and characteristics,and then transformed into a strictly diagonally dominant matrix.The improved estimation of error bounds for linear complementarity problems of B-matrix is obtained,by using the range for the infinity norm of the inverse matrix and the reduction technique of inequality.The validity of the result is verified by theoretical analysis and examples.

关 键 词：B-矩阵 线性互补问题 误差界 严格对角占优M-矩阵 

分 类 号：O151.21[理学—数学]