Estimates for the eigenvalues of the Jordan product of Hermitian matrices
type: Item
instance of: scholarly article
title: Estimates for the eigenvalues of the Jordan product of Hermitian matrices
zbMATH Open document ID: 0539.15009
DOI: 10.1016/0024-3795(84)90175-7
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: For Hermitian \(n\times n\)-matrices A and B the Jordan product is defined as the Hermitian matrix \(C=AB+BA\). For positive definite A and B this article gives necessary conditions for the i-th eigenvalue \(c_ i\) of C to be nonnegative and derives a lower bound on \(c_ i\) in terms of suitable eigenvalues of A and B.
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 3857299
zbMATH Keywords: Jordan product
zbMATH Keywords: positive definite matrix
zbMATH Keywords: estimates for eigenvalues
zbMATH Keywords: nonnegative condition
author: Nicholas D. Alikakos
author: Peter W. Bates
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90175-7
OpenAlex ID: W2171834829
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description: scientific article; zbMATH DE number 3857299