B^(S)-矩阵线性互补问题误差界的一个新估计式  

New Estimate of Error Bounds for Linear Complementarity Problems of B^(S)-Matrices

作　　者：周翠玲 莫宏敏[1] ZHOU Cuiling;MO Hongmin(College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2021年第2期31-37,共7页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(11461027);吉首大学研究生科研项目(JDY20055)。

摘　　要：根据B^(S)-矩阵的特殊结构和性质,利用严格对角占优M-矩阵的逆的无穷大范数范围,结合不等式的放缩技巧,改进了B^(S)-矩阵线性互补问题的误差界估计式.理论分析和数值算例均验证了新估计式的有效性.According to the special structure and properties of B^(S)-matrices,new error bounds for the linear complementarity problem of B^(S)-matrices is improved by using the infinite norm range of inverse of a strictly diagonally dominant M-matrix and the scaling technique ofinequality.The validity of the new estimate is verified by theoretical analysis and numerical example.

关 键 词：误差界 线性互补问题 B^(S)-矩阵 估计式 

分 类 号：O241[理学—计算数学]