Two results about the matrix exponential
type: Item
instance of: scholarly article
title: Two results about the matrix exponential
zbMATH Open document ID: 0880.15030
DOI: 10.1016/S0024-3795(97)80025-0
published in: Linear Algebra and its Applications
publication date: 1997-07-28T00:00:00Z
review text: The author characterizes the matrices \(A\) whose exponential is normal. It turns out that the matrix \(A\) itself need not be normal. Also an upper bound of \(\text{trace} (e^Ae^{A^*})\) is obtained for a stable matrix \(A\), in terms of a corresponding Lyapunov equation; the method provides bounds that are asymptotically stable.
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 1040635
zbMATH Keywords: matrix exponential
zbMATH Keywords: normal matrix
zbMATH Keywords: stable matrix
zbMATH Keywords: Lyapunov equation
author: Hongguo Xu
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
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full work available at URL: s0024-3795(97)80025-0
OpenAlex ID: W2021816450
description: scientific article; zbMATH DE number 1040635