DIAGONAL-SCHUR COMPLEMENTS OF NEKRASOV MATRICES

被引：0

作者：

Wang, Shiyun ^{[1
]}

Li, Qi ^{[1
]}

Sun, Xu ^{[1
]}

Lyu, Zhen-Hua ^{[1
]}

机构：

[1] Shenyang Aerosp Univ, Coll Sci, Shenyang 110136, Liaoning, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2023年 / 39卷

基金：

中国国家自然科学基金;

关键词：

Nekrasov matrix; Diagonal-Schur complement; Sigma-Nekrasov matrix; H-MATRICES; DOMINANT MATRICES; NORM BOUNDS; INVERSE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

he Schur and diagonal-Schur complements are important tools in many fields. It was revealed that the diagonal-Schur complements of Nekrasov matrices with respect to the index set{1} are Nekrasov matrices by Cvetkovi c and Nedovi c [Appl. Math. Comput.,208:225-230, 2009]. In this paper, we prove that the diagonal-Schur complements of Nekrasov matrices with respect to any index set are Nekrasov matrices. Similar results hold for Sigma-Nekrasov matrices. We also present some results on Nekrasov diagonally dominant degrees. Numerical examples are given to verify the correctness of the results.

引用

页码：539 / 555

页数：17

共 23 条

[1]

Bailey D.W., 1969, Linear Algebra Appl., V2, P303

[2]

Berman A., 1994, Nonnegative Matrices in the Mathematical Sciences

[3]

Chang M, 2016, J. Shangqiu Vocation. Tech. Coll., V5, P1

[4] Further results on H-matrices and their Schur complements [J].

Cvetkovic, Ljiljana ;

Kostic, Vladimir ;

Kovacevic, Maja ;

Szulc, Tomasz .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (02) :506-510

[5] 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

[6] Special H-matrices and their Schur and diagonal-Schur complements [J].

Cvetkovic, Ljiljana ;

Nedovic, Maja .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) :225-230

[7]

Horn R. A., 2013, Matrix analysis, Vsecond

[8] On Schur complements of Dashnic-Zusmanovich type matrices [J].

Li, Chaoqian ;

Huang, Zhengyu ;

Zhao, Jianxing .

LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (19) :4071-4096

[9] On diagonal-Schur complements of block diagonally dominant matrices [J].

Li, Yao-tang ;

Ouyang, Shun-ping ;

Cao, Shu-juan ;

Wang, Rui-Wu .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (05) :1383-1392

[10] Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices [J].

Liu, Jianzhou ;

Li, Jicheng ;

Huang, Zhuohong ;

Kong, Xu .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (04) :1009-1030

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