Complex \(D\) convergence and diagonal convergence of matrices
type: Item
instance of: scholarly article
title: Complex \(D\) convergence and diagonal convergence of matrices
zbMATH Open document ID: 1197.65044
author: Olga Pryporova
published in: Linear Algebra and its Applications
publication date: 2009-12-18T00:00:00Z
review text: The author analyses several types of convergence introduced in the literature that are more restrictive than just the condition \(\rho(A) < 1\): \(D\) convergence, diagonal convergence and boundary convergence, and proves that for complex matrices of order \(n \leq 3\) they are all equivalent.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5649991
zbMATH Keywords: Convergence of matrices
zbMATH Keywords: \(D\) convergence
zbMATH Keywords: diagonal convergence
zbMATH Keywords: vertex convergence
zbMATH Keywords: boundary convergence
zbMATH Keywords: Schur stability
MaRDI profile type: Publication
full work available at URL: j.laa.2009.08.034
OpenAlex ID: W1982129190
cites work: Application of M-matrices to the stability problems of composite dynamical systems
cites work: Multiplicative perturbations of stable and convergent operators
cites work: The minimum rank of symmetric matrices described by a graph: a survey
cites work: On Schur \(D\)-stable matrices
cites work: Classes of Schur \(D\)-stable matrices
cites work: Schur-type stability properties and complex diagonal scaling
cites work: On discrete-time diagonal and \(D\)-stability
cites work: Q4937699
cites work: Q5571936
cites work: On another approach to the Schur-Cohn criterion
DOI: 10.1016/J.LAA.2009.08.034
description: scientific article; zbMATH DE number 5649991