Numerical range of matrices and Levinger's theorem
type: Item
instance of: scholarly article
title: Numerical range of matrices and Levinger's theorem
zbMATH Open document ID: 0833.15023
DOI: 10.1016/0024-3795(94)00073-M
author: Miroslav Fiedler
published in: Linear Algebra and its Applications
publication date: 1996-03-18T00:00:00Z
review text: This work is, in a sense, a continuation of the author's earlier work [ibid. 37, 81-96 (1981; Zbl 0452.15024)] on the numerical range of matrices. In particular, its connection to \textit{B. W. Levinger's} theorem [An inequality for nonnegative matrices. Notices Am. Math. Soc. 17, 260 (1970)] for the case of nonnegative matrices is extended for general complex matrices. Also, an elementary proof of Levinger's theorem is given.
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 769025
zbMATH Keywords: numerical range
zbMATH Keywords: Levinger's theorem
reviewed by: Ali-Akbar Jafarian
MaRDI profile type: Publication
cites work: Geometry of the numerical range of matrices
description: scientific article; zbMATH DE number 769025