On Schur complement of block diagonally dominant matrices

被引：18

作者：

Zhang, CY ^{[1
]}

Li, YT ^{[1
]}

Chen, F ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 414卷 / 2-3期

关键词：

Schur complements; I-(II-)block diagonally dominant matrices; I-(II-)generalized block diagonally dominant matrices;

D O I：

10.1016/j.laa.2005.10.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well-known that the Schur complements of strictly diagonally dominant matrices are strictly diagonally dominant [D. Carlson, T. Markham, Schur complements of diagonally dominant matrices, Czech. Math. J. 29 (104) (1979) 246-251]; the same is true of generalized strictly diagonally dominant matrices [Jianzhou Liu, Yungqing Huang, Some properties on Schur complements of H-matrix and diagonally dominant matrices, Linear Algebra Appl. 389 (2004) 365-380]. In this paper, this result is extended to the block (strictly) diagonally dominant matrices and the generalized block (strictly) diagonally dominant matrices, that is, it is shown that the Schur complement of a block (strictly) diagonally dominant matrix is a block (strictly) diagonally dominant matrix and so is the Schur complement of a generalized block (strictly) diagonally dominant matrix. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：533 / 546

页数：14

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