The numerical range of \(3 \times 3\) matrices
type: Item
instance of: scholarly article
title: The numerical range of \(3 \times 3\) matrices
zbMATH Open document ID: 0876.15020
DOI: 10.1016/0024-3795(95)00674-5
author: Dennis S. Keeler
author: Leiba Rodman
author: Ilya M. Spitkovsky
published in: Linear Algebra and its Applications
publication date: 1997-11-23T00:00:00Z
review text: Let \(A\) be an \(n\times n\) complex matrix and \(W(A)=\{x^*Ax:x\in \mathbb{C}^n\), \(x^*x=1\}\) the numerical range of \(A\). The main purpose of this paper is to establish a series of tests allowing one to determine the shape of \(W(A)\) for \(n=3\). The authors also examine the reconstruction of \(A\) from \(W(A)\) for \(n=3\) up to unitary similarity.
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 991119
zbMATH Keywords: \(3\times 3\) matrices
zbMATH Keywords: numerical range
reviewed by: Rabe von Randow
MaRDI profile type: Publication
full work available at URL: 0024-3795(95)00674-5
OpenAlex ID: W2075312216
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description: scientific article; zbMATH DE number 991119