Maximum permanent and Hermitian matrices
type: Item
instance of: scholarly article
title: Maximum permanent and Hermitian matrices
zbMATH Open document ID: 0845.15003
DOI: 10.1016/0024-3795(94)00121-9
published in: Linear Algebra and its Applications
publication date: 1996-09-15T00:00:00Z
review text: The authors prove that a result of \textit{J. H. Drew} and \textit{C. R. Johnson} [Linear Multilinear Algebra 25, No. 3, 243-251 (1989; Zbl 0681.15004)] generalizes from real symmetric positive semidefinite \(3 \times 3\) matrices to Hermitian positive semidefinite \(3 \times 3\) matrices. This result gives the maximum permanent of matrices conjugate by unitary matrices to a fixed diagonal matrix (i.e. specified eigenvalues), and gives the form of the maximizing matrix.
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 871113
zbMATH Keywords: persymmetric matrix
zbMATH Keywords: Hermitian positive semidefinite matrices
zbMATH Keywords: maximum permanent
author: Shu-An Hu
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00121-9
OpenAlex ID: W2077167006
cites work: Counterexample to a conjecture of mehta regarding permanental maximization
cites work: The maximum permanent of a 3-by-3 positive semidefinite matrix, given the eigenvalues
cites work: Some variations on the numerical range†
cites work: Q3901606
cites work: Permanents
description: scientific article; zbMATH DE number 871113