B-矩阵线性互补问题解的误差界新估计式  

Error bounds for linear complementarity problems of B-matrices

作　　者：周翠玲 莫宏敏[1] ZHOU Cui-ling;MO Hong-min(College of Mathematics and Statistics,Jishou University,Jishou 416000,China)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《高校应用数学学报（A辑）》2022年第2期142-150,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11461027)。

摘　　要：根据P-矩阵的子类B-矩阵的定义和性质,利用严格对角占优M-矩阵的逆的无穷大范数的上界估计式和不等式的放缩技巧,得到了B-矩阵线性互补问题解的误差界新估计式.理论分析和数值例子说明,新估计式改进了现有文献的相关结果.According to the definition and properties of the subclass of P-matrices B-matrices,a new estimate of the error bounds for the linear complementarity problem of B-matrices is obtained by using the upper bound estimation of the inverse infinite norm of a strictly diagonally dominant M-matrices and the scaling technique of inequality.Theoretical analysis and numerical examples show that the new estimate improves the relevant results in the existing literature.

关 键 词：误差界 线性互补问题 B-矩阵 

分 类 号：O241.1[理学—计算数学]