A weak majorization involving the matrices \(A\circ B\) and \(AB\)
type: Item
instance of: scholarly article
title: A weak majorization involving the matrices \(A\circ B\) and \(AB\)
zbMATH Open document ID: 0833.15019
DOI: 10.1016/0024-3795(94)00009-3
author: George Visick
published in: Linear Algebra and its Applications
publication date: 1996-03-18T00:00:00Z
review text: The author proves that the sum of inverses of larger eigenvalues of the standard product of two matrices majorizes that of the Hadamard product of two matrices. Moreover, the author settles the weak multiplicative majorization conjecture for Hadamard products proposed at the 1987 Utah State University matrix theory conference by C. R. Johnson and R. B. Bapat.
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 778282
zbMATH Keywords: sum of inverses of larger eigenvalues
zbMATH Keywords: Hadamard product
zbMATH Keywords: weak multiplicative majorization
reviewed by: Z. Dostál
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00009-3
OpenAlex ID: W2060759832
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description: scientific article; zbMATH DE number 778282