A Hadamard inequality for the second immanant
type: Item
instance of: scholarly article
title: A Hadamard inequality for the second immanant
zbMATH Open document ID: 0636.15004
DOI: 10.1016/0021-8693(87)90220-1
author: Russell Merris
author: Robert D. Grone
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: This paper studies the normalized second immanant \(\bar d_ 2\) of semidefinite Hermitian matrices and tightens the spread of the Hadamard inequality and an inequality of Schur by proving \(\Pi a_{ii}\geq \det A+\Delta (\bar d_ 2(A)-\det A).\)
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 4035987
zbMATH Keywords: permanent
zbMATH Keywords: normalized second immanant
zbMATH Keywords: semidefinite Hermitian matrices
zbMATH Keywords: Hadamard inequality
reviewed by: Frank Uhlig
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90220-1
OpenAlex ID: W1986987550
cites work: On the relative extrema of a linear combination of elementary symmetric functions
cites work: A Fischer inequality for the second immanant
cites work: Q5520710
cites work: The Hadamard Theorem for Permanents
cites work: Inequalities: theory of majorization and its applications
cites work: Single-hook characters and hamiltonian circuits∗
cites work: Inequalities and identities for generalized matrix functions
description: scientific article; zbMATH DE number 4035987