A note on stable matrices
type: Item
instance of: scholarly article
title: A note on stable matrices
zbMATH Open document ID: 0534.15009
DOI: 10.1016/0024-3795(84)90110-1
author: E. L. Yip
author: C. S. Ballantine
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: The authors give a new similarity-canonical form for stable matrices (i.e., matrices whose characteristic roots have, all, positive real parts) in the real and complex cases. They obtain new proofs for the real and complete cases of a Stein-Pfeffer theorem about stable and conjunctive matrices (i.e., matrices A and B such that \(B=C^*AC\) for some C non singular.
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 3847577
zbMATH Keywords: non-derogatory
zbMATH Keywords: characteristic polynomial
zbMATH Keywords: similarity-canonical form
zbMATH Keywords: stable matrices
zbMATH Keywords: conjunctive matrices
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90110-1
OpenAlex ID: W2021837832
cites work: On ranges of Lyapunov transformations
cites work: Q5653524
description: scientific article; zbMATH DE number 3847577