Convergence of LR algorithm for a one-point spectrum tridiagonal matrix

Detalhes bibliográficos
Autor(a) principal: Ferreira, Carla
Data de Publicação: 2009
Outros Autores: Parlett, Beresford
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/1822/11322
Resumo: We proved convergence for the basic LR algorithm on a real unreduced tridiagonal matrix with a one-point spectrum - the Jordan form is one big Jordan block. First we develop properties of eigenvector matrices. We also show how to deal with the singular case.
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spelling Convergence of LR algorithm for a one-point spectrum tridiagonal matrixUnsymmetric tridiagonal matricesLR algorithmMultiple eigenvaluesScience & TechnologyWe proved convergence for the basic LR algorithm on a real unreduced tridiagonal matrix with a one-point spectrum - the Jordan form is one big Jordan block. First we develop properties of eigenvector matrices. We also show how to deal with the singular case.SpringerUniversidade do MinhoFerreira, CarlaParlett, Beresford2009-06-032009-06-03T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11322eng"Numerische Mathematic". ISSN 0029-599X. 113:3 (2009) 417-431.0029-599X10.1007/s00211-009-0238-2www.springerlink.com/content/nv10179uv7486k53info: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:RCAAP2024-05-11T06:01:14Zoai:repositorium.sdum.uminho.pt:1822/11322Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:38:14.374764Repositórios 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 Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
title Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
spellingShingle Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
Ferreira, Carla
Unsymmetric tridiagonal matrices
LR algorithm
Multiple eigenvalues
Science & Technology
title_short Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
title_full Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
title_fullStr Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
title_full_unstemmed Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
title_sort Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
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 Unsymmetric tridiagonal matrices
LR algorithm
Multiple eigenvalues
Science & Technology
topic Unsymmetric tridiagonal matrices
LR algorithm
Multiple eigenvalues
Science & Technology
description We proved convergence for the basic LR algorithm on a real unreduced tridiagonal matrix with a one-point spectrum - the Jordan form is one big Jordan block. First we develop properties of eigenvector matrices. We also show how to deal with the singular case.
publishDate 2009
dc.date.none.fl_str_mv 2009-06-03
2009-06-03T00:00:00Z
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/1822/11322
url http://hdl.handle.net/1822/11322
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Numerische Mathematic". ISSN 0029-599X. 113:3 (2009) 417-431.
0029-599X
10.1007/s00211-009-0238-2
www.springerlink.com/content/nv10179uv7486k53
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
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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repository.mail.fl_str_mv info@rcaap.pt
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