Nearest matrix with two prescribed eigenvalues
type: Item
instance of: scholarly article
title: Nearest matrix with two prescribed eigenvalues
zbMATH Open document ID: 1074.15011
author: Juan-Miguel Gracia
published in: Linear Algebra and its Applications
publication date: 2005-06-01T00:00:00Z
review text: Generalizing a result of \textit{A. N. Malyshev} [Numer. Math. 83, 443--454 (1999; Zbl 0972.15011)], the author obtains a formula for the distance (measured in the spectral norm) of a given matrix from the set of matrices whose eigenvalues include two given numbers.
reviewed by: Alan L. Andrew
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A12
zbMATH DE Number: 2173152
zbMATH Keywords: singular values
zbMATH Keywords: Wilkinson's problem
zbMATH Keywords: analytic matrix function
zbMATH Keywords: nearest matrix
zbMATH Keywords: prescribed eigenvalues
zbMATH Keywords: distance
zbMATH Keywords: spectral norm
MaRDI profile type: Publication
full work available at URL: j.laa.2004.07.002
OpenAlex ID: W2127340547
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DOI: 10.1016/J.LAA.2004.07.002
description: scientific article; zbMATH DE number 2173152