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A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem

Bibliographic Details
Main Author: Ferreira, Carla
Publication Date: 2022
Other Authors: Parlett, Beresford
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/76603
Summary: The paper discusses the following topics: attractions of the real tridiagonal case, relative eigenvalue condition number for matrices in factored form, dqds, triple dqds, error analysis, new criteria for splitting and deflation, eigenvectors of the balanced form, twisted factorizations and generalized Rayleigh quotient iteration. We present our fast real arithmetic algorithm and compare it with alternative published approaches.
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spelling A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problemLRdqdsUnsymmetric tridiagonal matricesBalanced formTwisted factorizations65F15Ciências Naturais::MatemáticasScience & TechnologyThe paper discusses the following topics: attractions of the real tridiagonal case, relative eigenvalue condition number for matrices in factored form, dqds, triple dqds, error analysis, new criteria for splitting and deflation, eigenvectors of the balanced form, twisted factorizations and generalized Rayleigh quotient iteration. We present our fast real arithmetic algorithm and compare it with alternative published approaches.FCT -Fundação para a Ciência e a Tecnologia(UIDB/00013/2020)SpringerUniversidade do MinhoFerreira, CarlaParlett, Beresford2022-01-182022-01-18T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/76603eng0029-599X0945-324510.1007/s00211-021-01254-zhttps://link.springer.com/article/10.1007/s00211-021-01254-zinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T07:17:56Zoai:repositorium.sdum.uminho.pt:1822/76603Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:22:13.374459Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem
title A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem
spellingShingle A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem
Ferreira, Carla
LR
dqds
Unsymmetric tridiagonal matrices
Balanced form
Twisted factorizations
65F15
Ciências Naturais::Matemáticas
Science & Technology
title_short A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem
title_full A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem
title_fullStr A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem
title_full_unstemmed A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem
title_sort A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem
author Ferreira, Carla
author_facet Ferreira, Carla
Parlett, Beresford
author_role author
author2 Parlett, Beresford
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Ferreira, Carla
Parlett, Beresford
dc.subject.por.fl_str_mv LR
dqds
Unsymmetric tridiagonal matrices
Balanced form
Twisted factorizations
65F15
Ciências Naturais::Matemáticas
Science & Technology
topic LR
dqds
Unsymmetric tridiagonal matrices
Balanced form
Twisted factorizations
65F15
Ciências Naturais::Matemáticas
Science & Technology
description The paper discusses the following topics: attractions of the real tridiagonal case, relative eigenvalue condition number for matrices in factored form, dqds, triple dqds, error analysis, new criteria for splitting and deflation, eigenvectors of the balanced form, twisted factorizations and generalized Rayleigh quotient iteration. We present our fast real arithmetic algorithm and compare it with alternative published approaches.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-18
2022-01-18T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/76603
url http://hdl.handle.net/1822/76603
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0029-599X
0945-3245
10.1007/s00211-021-01254-z
https://link.springer.com/article/10.1007/s00211-021-01254-z
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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