Infinity norm upper bounds for the inverse of S DD1 matrices

被引：9

作者：

Chen, Xiaoyong ^{[1
]}

Li, Yating ^{[1
]}

Liu, Liang ^{[1
]}

Wang, Yaqiang ^{[1
]}

机构：

[1] Baoji Univ Arts & Sci, Sch Math & Informat Sci, Baoji 721013, Shaanxi, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 05期

关键词：

S DD1 matrices; S DD matrices; upper bound; positive diagonal matrix; infinity norm;

D O I：

10.3934/math.2022493

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new proof that S DD1 matrices is a subclass of H-matrices is presented, and some properties of S DD1 matrices are obtained. Based on the new proof, some upper bounds of the infinity norm of inverse of S DD1 matrices and S DD matrices are given. Moreover, we show that these new bounds of S DD matrices are better than the well-known Varah bound for S DD matrices in some cases. In addition, some numerical examples are given to illustrate the corresponding results.

引用

页码：8847 / 8860

页数：14