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
收藏
页码:8847 / 8860
页数:14
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