A deflation method for regular matrix pencils
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10314/4012 https://doi.org/10.1016/j.amc.2011.08.034 |
Resumo: | A generalization of the concept of eigenvalue is introduced for a matrix pencil and it is called eigenpencil; an eigenpencil is a pencil itself and it contains part of the spectral information of the matri pencil. A Wielandt type deflation procedure for regular matrix pencils is developed, using eigenpencils and supposing that they can have both finite and infinite eigenvalues. A numerical example illustrates the proposed method. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
spelling |
A deflation method for regular matrix pencilsMatrix pencil; Eigenpencil; Wielandt deflationA generalization of the concept of eigenvalue is introduced for a matrix pencil and it is called eigenpencil; an eigenpencil is a pencil itself and it contains part of the spectral information of the matri pencil. A Wielandt type deflation procedure for regular matrix pencils is developed, using eigenpencils and supposing that they can have both finite and infinite eigenvalues. A numerical example illustrates the proposed method.Applied Mathematics and Computation2018-06-08T15:49:48Z2018-06-082011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10314/4012http://hdl.handle.net/10314/4012https://doi.org/10.1016/j.amc.2011.08.034engRosa, CecíliaPereira, Edgarinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-14T02:57:47Zoai:bdigital.ipg.pt:10314/4012Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:43:10.279095Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A deflation method for regular matrix pencils |
title |
A deflation method for regular matrix pencils |
spellingShingle |
A deflation method for regular matrix pencils Rosa, Cecília Matrix pencil; Eigenpencil; Wielandt deflation |
title_short |
A deflation method for regular matrix pencils |
title_full |
A deflation method for regular matrix pencils |
title_fullStr |
A deflation method for regular matrix pencils |
title_full_unstemmed |
A deflation method for regular matrix pencils |
title_sort |
A deflation method for regular matrix pencils |
author |
Rosa, Cecília |
author_facet |
Rosa, Cecília Pereira, Edgar |
author_role |
author |
author2 |
Pereira, Edgar |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Rosa, Cecília Pereira, Edgar |
dc.subject.por.fl_str_mv |
Matrix pencil; Eigenpencil; Wielandt deflation |
topic |
Matrix pencil; Eigenpencil; Wielandt deflation |
description |
A generalization of the concept of eigenvalue is introduced for a matrix pencil and it is called eigenpencil; an eigenpencil is a pencil itself and it contains part of the spectral information of the matri pencil. A Wielandt type deflation procedure for regular matrix pencils is developed, using eigenpencils and supposing that they can have both finite and infinite eigenvalues. A numerical example illustrates the proposed method. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-01-01T00:00:00Z 2018-06-08T15:49:48Z 2018-06-08 |
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/10314/4012 http://hdl.handle.net/10314/4012 https://doi.org/10.1016/j.amc.2011.08.034 |
url |
http://hdl.handle.net/10314/4012 https://doi.org/10.1016/j.amc.2011.08.034 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Applied Mathematics and Computation |
publisher.none.fl_str_mv |
Applied Mathematics and Computation |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
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1799136924304146432 |