The possible shapes of numerical ranges
type: Item
instance of: scholarly article
title: The possible shapes of numerical ranges
zbMATH Open document ID: 1270.15014
author: J. William Helton
author: Ilya M. Spitkovsky
published in: Operators and Matrices
publication date: 2012-09-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/1104.4587
full work available at URL: The-possible-shapes-of-numerical-ranges
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 6084699
zbMATH Keywords: numerical range
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: symmetric matrix
MaRDI profile type: Publication
OpenAlex ID: W2962984804
arXiv ID: 1104.4587
DOI: 10.7153/OAM-06-41
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review text: This paper presents essentially two results related with numerical ranges. It gives a necessary and sufficient condition for a subset of the complex plane to be the numerical range of a certain matrix and it also shows that for a given matrix there always exists a symmetric matrix with the same numerical range.
reviewed by: João R. Cardoso
description: scientific article; zbMATH DE number 6084699