Infinity norm upper bounds for the inverse of S DD1 matrices

被引：12

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

共 15 条

[1]

[Anonymous], 1994, Classics in Applied Mathematics

[2] Subdirect Sums of SDD1 Matrices [J].

Chen, Xiaoyong ;

Wang, Yaqiang .

JOURNAL OF MATHEMATICS, 2020, 2020

[3] Max-norm bounds for the inverse of S-Nekrasov matrices [J].

Cvetkovic, Ljiljana ;

Kostic, Vladimir ;

Doroslovacki, Ksenija .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) :9498-9503

[4] A note on diagonal dominance, Schur complements and some classes of H-matrices and P-matrices [J].

Dai, Ping-Fan .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 2016, 42 (01) :1-4

[5] NEW UPPER BOUNDS FOR THE INFINITY NORM OF NEKRASOV MATRICES [J].

Gao, Lei ;

Liu, Qilong .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (03) :723-733

[6]

Kolotilina L. Y., 2019, J. Math. Sci, V240, P799, DOI [/10.1007 /s10958-019-04397-5, DOI 10.1007/S10958-019-04397-5]

[7]

Kolotilina L. Y., 2015, J. Math. Sci., V207, P786, DOI [10.1007 /s10958-015-2401-x, DOI 10.1007/S10958-015-2401-X]

[8]

Kolotilina L. Y., 2020, J MATH SCI-U TOKYO, V249, P221, DOI 10.1007 s10958-020-04936-5 // / /

[9]

Kolotilina L. Y, 2020, J MATH SCI-U TOKYO, V249, P242, DOI 10.1007 s10958-020-04938-3

[10]

Kolotilina L. Y., 2014, J. Math. Sci., V199, P432, DOI [10.1007/s10958-014-1870-7, DOI 10.1007/S10958-014-1870-7]

← 1 2 →