Lower bounds for the determinant and the trace of a class of Hermitian matrices
type: Item
instance of: scholarly article
title: Lower bounds for the determinant and the trace of a class of Hermitian matrices
zbMATH Open document ID: 0846.15004
DOI: 10.1016/0024-3795(94)00148-0
author: Balder Ortner
author: A. R. Kräuter
published in: Linear Algebra and its Applications
publication date: 1996-06-23T00:00:00Z
review text: The authors derive sharp lower bounds for the determinant and the trace of a certain class of Hermitian matrices. Equality in these estimates is discussed with special attention. Since the trace turns out to be a special kind of condition number, these results are helpful tools in selecting measurement directions needed in several physical problems. This application is also discussed.
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A12
zbMATH DE Number: 871264
zbMATH Keywords: lower bounds
zbMATH Keywords: determinant
zbMATH Keywords: trace
zbMATH Keywords: Hermitian matrices
zbMATH Keywords: condition number
reviewed by: Prem Narain
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00148-0
OpenAlex ID: W2030438918
cites work: Q3897149
cites work: Q4226075
cites work: Q5672665
cites work: Matrix Analysis
cites work: Inertia characteristics of self-adjoint matrix polynomials
cites work: Q5331504
cites work: Permanents
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cites work: Q4057472
description: scientific article; zbMATH DE number 871264