Continuity of the core-EP inverse and its applications

Detalhes bibliográficos
Autor(a) principal: Gao, Yuefeng
Data de Publicação: 2021
Outros Autores: Chen, Jianlong, Patrício, Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/65535
Resumo: In this paper, firstly we study the continuity of the core-EP inverse without explicit error bounds by virtue of two methods. One is the rank equality, followed from the classical generalized inverse. The other one is matrix decomposition. The continuity of the core inverse can be derived as a particular case. Secondly, we study perturbation bounds for the core-EP inverse under prescribed conditions. Perturbation bounds for the core inverse can be derived as a particular case. Also, as corollaries, the sufficient (and necessary) conditions for the continuity of the core-EP inverse are obtained. Thirdly, a numerical example is illustrated to compare derived upper bounds. Finally, an application to semistable matrices is provided.
id RCAP_fb7cee12a982ade80d51b89de282b28c
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/65535
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Continuity of the core-EP inverse and its applicationsCore-EP inversepseudo core inversecontinuityperturbation bound15A0934D1065F35Ciências Naturais::MatemáticasScience & TechnologyIn this paper, firstly we study the continuity of the core-EP inverse without explicit error bounds by virtue of two methods. One is the rank equality, followed from the classical generalized inverse. The other one is matrix decomposition. The continuity of the core inverse can be derived as a particular case. Secondly, we study perturbation bounds for the core-EP inverse under prescribed conditions. Perturbation bounds for the core inverse can be derived as a particular case. Also, as corollaries, the sufficient (and necessary) conditions for the continuity of the core-EP inverse are obtained. Thirdly, a numerical example is illustrated to compare derived upper bounds. Finally, an application to semistable matrices is provided.This research is supported by the National Natural Science Foundation of China (No. 11771076), partially supported by FCT-'Fundacao para a Ciencia e a Tecnologia', within the project UID-MAT-00013/2013.Taylor & Francis LtdUniversidade do MinhoGao, YuefengChen, JianlongPatrício, Pedro20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/65535eng0308-108710.1080/03081087.2019.1608899info: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:RCAAP2023-07-21T12:29:56Zoai:repositorium.sdum.uminho.pt:1822/65535Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:25:01.994561Repositório 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 Continuity of the core-EP inverse and its applications
title Continuity of the core-EP inverse and its applications
spellingShingle Continuity of the core-EP inverse and its applications
Gao, Yuefeng
Core-EP inverse
pseudo core inverse
continuity
perturbation bound
15A09
34D10
65F35
Ciências Naturais::Matemáticas
Science & Technology
title_short Continuity of the core-EP inverse and its applications
title_full Continuity of the core-EP inverse and its applications
title_fullStr Continuity of the core-EP inverse and its applications
title_full_unstemmed Continuity of the core-EP inverse and its applications
title_sort Continuity of the core-EP inverse and its applications
author Gao, Yuefeng
author_facet Gao, Yuefeng
Chen, Jianlong
Patrício, Pedro
author_role author
author2 Chen, Jianlong
Patrício, Pedro
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Gao, Yuefeng
Chen, Jianlong
Patrício, Pedro
dc.subject.por.fl_str_mv Core-EP inverse
pseudo core inverse
continuity
perturbation bound
15A09
34D10
65F35
Ciências Naturais::Matemáticas
Science & Technology
topic Core-EP inverse
pseudo core inverse
continuity
perturbation bound
15A09
34D10
65F35
Ciências Naturais::Matemáticas
Science & Technology
description In this paper, firstly we study the continuity of the core-EP inverse without explicit error bounds by virtue of two methods. One is the rank equality, followed from the classical generalized inverse. The other one is matrix decomposition. The continuity of the core inverse can be derived as a particular case. Secondly, we study perturbation bounds for the core-EP inverse under prescribed conditions. Perturbation bounds for the core inverse can be derived as a particular case. Also, as corollaries, the sufficient (and necessary) conditions for the continuity of the core-EP inverse are obtained. Thirdly, a numerical example is illustrated to compare derived upper bounds. Finally, an application to semistable matrices is provided.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01T00:00:00Z
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/1822/65535
url http://hdl.handle.net/1822/65535
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0308-1087
10.1080/03081087.2019.1608899
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 Taylor & Francis Ltd
publisher.none.fl_str_mv Taylor & Francis Ltd
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
_version_ 1799132732513583104

Registros relacionados