Spectral inequalities for matrix exponentials
type: Item
instance of: scholarly article
title: Spectral inequalities for matrix exponentials
zbMATH Open document ID: 0662.15012
DOI: 10.1016/0024-3795(88)90048-1
author: Joel E. Cohen
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: For any complex matrix A the author proves the following inequality for partial traces of the kth compound matrix \(tr_ i^{(k)}(e^ Ae^{A^*})\leq tr_ i^{(k)}(e^{A+A^*}).\) Equality holds if A is normal.
Mathematics Subject Classification ID: 15A45
zbMATH DE Number: 4081742
zbMATH Keywords: spectral inequalities
zbMATH Keywords: matrix exponentials
zbMATH Keywords: partial trace inequality
zbMATH Keywords: compound matrix
reviewed by: J. de Graaf
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90048-1
OpenAlex ID: W1967116547
cites work: Inequalities for the Trace of Matrix Exponentials
cites work: Eigenvalue inequalities for products of matrix exponentials
cites work: Q5800822
cites work: Q3261425
cites work: Q5634107
cites work: On the Product of Semi-Groups of Operators
description: scientific article; zbMATH DE number 4081742