SDD#1矩阵逆的无穷大范数的上界及其应用
Upper Bound Estimations for Infinity Norm of Inverse of SDD#1 Matrices and Its Applications
冉文文 1王峰1
作者信息
- 1. 贵州民族大学数据科学与信息工程学院,贵州贵阳 550025
- 折叠
摘要
提出了非奇异H-矩阵的一个新的子类——SDD#1矩阵,得到了SDD#1矩阵的几个性质,并讨论了SDD#1矩阵与其他H-矩阵子类之间的关系.基于这些性质,获得了SDD#1矩阵逆的无穷大范数的上界.作为应用,给出了SDD#1矩阵线性互补问题的误差界.数值算例表明了新界优于现有的一些结果.
Abstract
In this paper,we introduce a new subclass of nonsingular H-matrices called SDD#1 matrices,give several characteristics of SDD#1 matrices,and study the relationship between SDD#1 matrices and other subclasses of H-matrices.Based on these characteristics,an infinity norm upper bound for the inverse of SDD#1 matrices is proposed.As an application,error bound of the linear complementarity problems involving SDD#1 matrices is presented.Numeri-cal examples show that the obtained results are better than some existing ones in some cases.
关键词
SDD#1矩阵/H矩阵/无穷大范数/误差界/线性互补问题Key words
SDD#1 matrix/H-matrix/infinity norms/error bounds/linear complementarity problems引用本文复制引用
出版年
2025
NETL
NSTL
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