Characteristic polynomials of some perturbed matrices
type: Item
instance of: scholarly article
title: Characteristic polynomials of some perturbed matrices
zbMATH Open document ID: 1154.15011
author: J. Ding
author: Aihui Zhou
published in: Applied Mathematics and Computation
publication date: 2008-06-11T00:00:00Z
review text: A determinant identity is used to establish a relation between the characteristic polynomial of a matrix \(A\) and that of a special perturbation of \(A\). The latter is obtained in factored form, provided the perturbation satisfies some linear independence condition. This result implies some known eigenvalue theorems.
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 5286430
zbMATH Keywords: eigenvalue
zbMATH Keywords: characteristic polynomial
zbMATH Keywords: perturbation
zbMATH Keywords: determinant identity
reviewed by: Erwin O. Kreyszig
MaRDI profile type: Publication
full work available at URL: j.amc.2007.10.024
OpenAlex ID: W1971138037
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DOI: 10.1016/J.AMC.2007.10.024
description: scientific article; zbMATH DE number 5286430