On the sensitivity of the spectral projection
type: Item
instance of: scholarly article
title: On the sensitivity of the spectral projection
zbMATH Open document ID: 1084.15010
published in: Linear Algebra and its Applications
publication date: 2005-02-23T00:00:00Z
review text: The author is applying the theory of condition developed by \textit{J. R. Rice} [SIAM J. Numer. Anal. 3, 287--310 (1966; Zbl 0143.37101)], to define absolute and relative condition numbers of the spectral projection and derives explicit expressions of the condition numbers. Some relations between the condition number of the spectral projection and the condition number of the associated invariant space are presented.
Mathematics Subject Classification ID: 15A12
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 2137788
zbMATH Keywords: condition number
zbMATH Keywords: spectral projection
zbMATH Keywords: perturbation expansion
zbMATH Keywords: perturbation bound
author: Ji-guang Sun
reviewed by: Nicholas Karampetakis
MaRDI profile type: Publication
full work available at URL: j.laa.2004.06.005
OpenAlex ID: W2108964539
cites work: On condition numbers and the distance to the nearest ill-posed problem
cites work: Q4396493
cites work: Computation of pseudospectra via spectral projectors
cites work: Q5689624
cites work: Q5526485
cites work: A Theory of Condition
cites work: Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
cites work: Q3343313
DOI: 10.1016/J.LAA.2004.06.005
description: scientific article; zbMATH DE number 2137788