A note on backward perturbations for the Hermitian eigenvalue problem
type: Item
instance of: scholarly article
title: A note on backward perturbations for the Hermitian eigenvalue problem
zbMATH Open document ID: 0841.65023
DOI: 10.1007/BF01732611
author: Ji-guang Sun
published in: BIT
publication date: 1995-12-19T00:00:00Z
review text: The paper studies two kinds of optimal Hermitian backward perturbations for the Hermitian eigenvalue problem which are obtained from different orthogonal decompositions of computed eigenvectors. It is shown that small residuals and almost orthogonality of the computed eigenvectors does not necessarily imply the smallness of all those optimal perturbations. This contradicts a result by \textit{S. Chandrasekharan} and \textit{I. C. F. Ipsen} [Numer. Math. 68, No. 2, 215-223 (1994; Zbl 0807.65034)] for the real symmetric eigenvalue problem.
reviewed by: Erwin O. Kreyszig
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 827433
zbMATH Keywords: optimal Hermitian backward perturbations
zbMATH Keywords: Hermitian eigenvalue problem
zbMATH Keywords: orthogonal decompositions
zbMATH Keywords: eigenvectors
describes a project that uses: IPSEN
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01732611
OpenAlex ID: W2063843180
description: scientific article; zbMATH DE number 827433