Stability criteria for matrices
type: Item
instance of: scholarly article
title: Stability criteria for matrices
zbMATH Open document ID: 0937.93018
DOI: 10.1016/S0005-1098(97)00234-3
published in: Automatica
publication date: 2000-06-07T00:00:00Z
review text: Two classes of matrices are considered: strictly diagonally dominant ones -- with \(|a_{ii}|>\sum_{j\neq i}|a_{ij}|\) -- and generalized strictly dominant ones -- those matrices \(A\) for which a positive diagonal matrix \(X\) exists such that \(AX\) is strictly diagonally dominant. For these classes simple criteria for stability exist. Consequently the paper gives various sufficient conditions for strictly diagonal dominance and generalized strictly diagonal dominance.
reviewed by: Vladimir Răsvan
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1325783
zbMATH Keywords: Hurwitz matrices
zbMATH Keywords: generalized strictly diagonal dominance
author: Ting-Zhu Huang
MaRDI profile type: Publication
full work available at URL: s0005-1098(97)00234-3
OpenAlex ID: W2137817402
description: scientific article; zbMATH DE number 1325783