On diagonal-Schur complements of block diagonally dominant matrices

被引：7

作者：

Li, Yao-tang ^{[1
]}

Ouyang, Shun-ping ^{[1
]}

Cao, Shu-juan ^{[1
]}

Wang, Rui-Wu ^{[2
]}

机构：

[1] Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China

[2] Chinese Acad Sci, Kunming Inst Zool, State Key Lab Genet Resources & Evolut, Ecol Conservat & Environm Ctr, Kunming 650223, Yunnan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 05期

关键词：

Diagonal-Schur complement; Schur complement; Block strictly diagonally dominant matrix; Generalized block strictly diagonally dominant matrix; H-matrix; H-MATRICES;

D O I：

10.1016/j.amc.2010.02.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that the diagonal-Schur complements of strictly diagonally dominant matrices are strictly diagonally dominant matrices [J.Z. Liu, Y.Q. Huang, Some properties on Schur complements of H-matrices and diagonally dominant matrices, Linear Algebra Appl. 389 (2004) 365-380], and the same is true for nonsingular H-matrices [J.Z. Liu, J.C. Li, Z.T. Huang, X. Kong, Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices, Linear Algebra Appl. 428 (2008) 1009-1030]. In this paper, we research the properties on diagonal-Schur complements of block diagonally dominant matrices and prove that the diagonal-Schur complements of block strictly diagonally dominant matrices are block strictly diagonally dominant matrices, and the same holds for generalized block strictly diagonally dominant matrices. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1383 / 1392

页数：10

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