Dashnic-Zusmanovich矩阵线性互补问题的误差界  

Error Bound for Linear Complementarity Problem of Dashnic-Zusmanovich Matrix

作　　者：蒋建新[1] JIANG Jianxin(School of Artificial Intelligence,Wenshan University,Wenshan 663099,China)

机构地区：[1]文山学院人工智能学院,云南文山663099

出　　处：《北华大学学报（自然科学版）》2024年第5期568-572,共5页Journal of Beihua University（Natural Science）

基　　金：云南省教育厅科学研究项目(2024J1047)。

摘　　要：研究Dashnic-Zusmanovich矩阵A的线性互补问题的误差界估计,给出只涉及矩阵A的元素的逆矩阵无穷范数的新上界,利用两类重要不等式以及放缩技巧,给出矩阵A的线性互补问题的误差界。Error bound of the linear complementarity problem of the Dashnic-Zusmanovich matrix A was studied.A new upper bound of the infinite norm of the inverse matrix involving only the elements of the matrix A was given.Two important inequalities and scaling techniques were used to give the error bound of the linear complementarity problem.

关 键 词：Dashnic-Zusmanovich矩阵 无穷范数 线性互补 误差界 

分 类 号：O151.21[理学—数学]