弱链对角占优B-矩阵线性补问题解的误差界估计式的改进  

The improvement on the error bound estimation of the solution of the linear supplementary problem for the weak chain diagonally dominant B-matrix

作　　者：周平 李耀堂[2] ZHOU Ping;LI Yao-tang(School of Mathematics and Engineering,Wenshan University,Wenshan 663099,China;School of Mathematics and Statistics,Yunnan University,Kunming 650500,China)

机构地区：[1]文山学院数学与工程学院,云南文山663099 [2]云南大学数学与统计学院,云南昆明650500

出　　处：《云南大学学报（自然科学版）》2020年第6期1038-1045,共8页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11861077);云南省教育厅科学研究基金(2019J0910);文山学院科学研究基金(2018Y04).

摘　　要：利用弱链对角占优M-矩阵的逆矩阵的无穷大范数的上界估计式和不等式技巧,给出了弱链对角占优B-矩阵线性补问题解的误差界的2个新估计式,改进了已有结果.Two new estimates of the error bound of the solution to the linear supplementary problem of weak chain diagonally dominant B-matrix are given by using the upper bound estimation of infinite norm of the inverse matrix of the weak chain diagonally dominant M-matrix and the techniques of inequalities.These estimates improve several existing results.

关 键 词：线性补问题 弱链对角占优矩阵 B-矩阵 误差界 

分 类 号：O151.21[理学—数学]