The Schur complements of generalized doubly diagonally dominant matrices
type: Item
instance of: scholarly article
title: The Schur complements of generalized doubly diagonally dominant matrices
zbMATH Open document ID: 1051.15016
author: Jianzhou Liu
author: Yunqing Huang
author: Fuzhen Zhang
published in: Linear Algebra and its Applications
publication date: 2004-08-06T00:00:00Z
review text: It is known that the Schur complements of diagonally dominant matrices are diagonally dominant, and that the same is true for doubly diagonally dominant matrices. In this paper, the authors extend these results to the generalized doubly diagonally dominant matrices (a proper subset of H-matrices); that is, they show that the Schur complement of a generalized doubly diagonally dominant matrix is a generalized doubly diagonally dominant matrix.
reviewed by: Fuad Kittaneh
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 2081756
zbMATH Keywords: comparison matrix
zbMATH Keywords: diagonally dominant matrix
zbMATH Keywords: doubly diagonally dominant matrix
zbMATH Keywords: generalized doubly diagonally dominant matrix
zbMATH Keywords: M-matrix
zbMATH Keywords: Schur complement
zbMATH Keywords: H-matrices
MaRDI profile type: Publication
full work available at URL: j.laa.2003.09.012
OpenAlex ID: W2059575218
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DOI: 10.1016/J.LAA.2003.09.012
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description: scientific article; zbMATH DE number 2081756