Generalization of Golden-Thompson type inequalities for normal matrices
type: Item
instance of: scholarly article
title: Generalization of Golden-Thompson type inequalities for normal matrices
zbMATH Open document ID: 1361.15023
author: Xuhua Liu
publication date: 2016-10-28T00:00:00Z
full work available at URL: mia-19-81-abs.pdf
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A16
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 6645340
zbMATH Keywords: Golden-Thompson inequality
zbMATH Keywords: Bernstein inequality
zbMATH Keywords: Araki-Lieb-Thirring inequatlity
zbMATH Keywords: Cordes inequatlity
zbMATH Keywords: normal matrices
zbMATH Keywords: trace
zbMATH Keywords: log-majorization
zbMATH Keywords: matrix exponential
zbMATH Keywords: traces
zbMATH Keywords: eigenvalues
zbMATH Keywords: singular values
MaRDI profile type: Publication
OpenAlex ID: W2518072122
DOI: 10.7153/MIA-19-81
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published in: Mathematical Inequalities \& Applications
review text: This paper focuses on several inequalities of traces, eigenvalues and singular values of powers of matrices, matrix exponentials, and also of compound matrices, i.e., matrices of subdeterminants (of fixed order) of a given matrix, in particular, on so-called (weak) majorization and (weak) log-majorization of singular and eigenvalues. Since the singular and eigenvalues are closely related with unitarily invariant norms of matrices, the results have implications also for norms.
reviewed by: Martin Plešinger
description: scientific article; zbMATH DE number 6645340