A deflation method for regular matrix pencils
| Autor(a) principal: | |
|---|---|
| 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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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 |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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