A Brauer's theorem and related results
type: Item
instance of: scholarly article
title: A Brauer's theorem and related results
zbMATH Open document ID: 1248.15007
author: Rafael Cantó
author: Ricardo L. Soto
author: Ana M. Urbano
author: R. Bru
published in: Central European Journal of Mathematics
publication date: 2012-07-03T00:00:00Z
full work available at URL: http://hdl.handle.net/10251/51870
review text: The authors provide applications of a theorem by \textit{A. Brauer} [Duke Math. J. 19, 75--91 (1952; Zbl 0046.01202)] relating the eigenvalues of an arbitrary matrix and the updated matrix by a rank-one additive perturbation. Namely, the theorem is applied to the stabilization of control systems, to the Jordan form of a matrix, and to Wielandt's and Hotelling's deflations.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 6052618
zbMATH Keywords: eigenvalues
zbMATH Keywords: pole assignment problem
zbMATH Keywords: controllability
zbMATH Keywords: low rank perturbation
zbMATH Keywords: deflation techniques
zbMATH Keywords: stabilization
zbMATH Keywords: Jordan form
zbMATH Keywords: Wielandt's and Hotelling's deflations
reviewed by: C. M.da Fonseca
MaRDI profile type: Publication
OpenAlex ID: W1966227398
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DOI: 10.2478/S11533-011-0113-0
description: scientific article; zbMATH DE number 6052618