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

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