Characterization of acyclic D-stable matrices
type: Item
instance of: scholarly article
title: Characterization of acyclic D-stable matrices
zbMATH Open document ID: 0543.15015
DOI: 10.1016/0024-3795(84)90201-5
author: A. Berman
author: Daniel Hershkowitz
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: Necessary and sufficient conditions are given for acyclic matrices, i.e. matrices whose graph does not contain a cycle, to be D-stable, i.e. DA has all eigenvalues in the right half plane for every positive diagonal matrix D. This result generalizes recent results on the D-stability of tridiagonal matrices.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 3863385
zbMATH Keywords: D-stability
zbMATH Keywords: acyclic matrices
zbMATH Keywords: tridiagonal matrices
reviewed by: Volker Mehrmann
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90201-5
OpenAlex ID: W2119277834
cites work: Matrix Diagonal Stability and Its Implications
cites work: Q3943082
cites work: A Semi-Definite Lyapunov Theorem and the Characterization of Tridiagonal D-Stable Matrices
cites work: Three types of matrix stability
cites work: Second, third, and fourth order D-stability
cites work: Stability of Multiple Markets: The Hicks Conditions
description: scientific article; zbMATH DE number 3863385