• Perturbation behavior of a mul...

Treffer: Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems

Title:
Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems
Authors:
Nakatsukasa, Yuji
Source:
BIT Numerical Mathematics, vol 50, iss 1
Publisher Information:
eScholarship, University of California
Publication Year:
2010
Collection:
University of California: eScholarship
Subject Terms:
Mathematics, general, Numeric Computing, Computational Mathematics and Numerical Analysis, Multiple eigenvalue, Perturbation, Generalized Hermitian eigenvalue problem
Document Type:
Fachzeitschrift article in journal/newspaper
File Description:
application/pdf
Language:
English
Relation:
qt8bg251c9; https://escholarship.org/uc/item/8bg251c9; https://escholarship.org/content/qt8bg251c9/qt8bg251c9.pdf
DOI:
10.1007/s10543-010-0254-8
Availability:
https://escholarship.org/uc/item/8bg251c9
https://escholarship.org/content/qt8bg251c9/qt8bg251c9.pdf
https://doi.org/10.1007/s10543-010-0254-8
Rights:
public
Accession Number:
edsbas.556E90BB
Database:
BASE

Weitere Informationen

We show that a multiple eigenvalue has different sensitivities under perturbations in a generalized Hermitian eigenvalue problem. Our result provides a solution to a question raised by Stewart and Sun. We also show how this difference of sensitivities plays a role in the eigenvalue forward error analysis after the Rayleigh-Ritz process, for which we present an approach that provides tight bounds.