The (B,C)-core inverse of rectangular matrices

Detalhes bibliográficos
Autor(a) principal: Zhu, Huihui
Data de Publicação: 2024
Outros Autores: Xu, Daihan, Patrício, Pedro, Mosić, Dijana
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: https://hdl.handle.net/1822/95215
Resumo: Let A be an m × n complex matrix and let B, C be n × m complex matrices. The main purpose of this article is to derive several new properties of the (B, C)-core inverse. Also, we introduce and investigate the dual (B, C)-core inverse in the context of rectangular matrices. The connection between (dual) (B, C)-core inverses and other generalized inverses is given. Finally, the minimum norm solution and least square solution to the equation are expressed by using the (B, C)-core inverse.
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spelling The (B,C)-core inverse of rectangular matrices(B, C)-core inversesMoore–Penrose inversesMatrix equationsCiências Naturais::MatemáticasLet A be an m × n complex matrix and let B, C be n × m complex matrices. The main purpose of this article is to derive several new properties of the (B, C)-core inverse. Also, we introduce and investigate the dual (B, C)-core inverse in the context of rectangular matrices. The connection between (dual) (B, C)-core inverses and other generalized inverses is given. Finally, the minimum norm solution and least square solution to the equation are expressed by using the (B, C)-core inverse.The authors are highly grateful to the referees for their valuable comments and suggestions which led to improvements of this paper. The first and second authors are supported by the National Natural Science Foundation of China (No. 11801124). The fourth author is supported by the Ministry of Education, Science and Technological Development, Republic of Serbia, grant No. 451-03-47/2023-01/200124. The research of Pedro Patrício at CMAT was partially financed by Portuguese Funds through FCT (Fundação para a Ciência e a Tecnologia) within the Projects UIDB/00013/2020 and UIDP/00013/2020.Taylor and FrancisUniversidade do MinhoZhu, HuihuiXu, DaihanPatrício, PedroMosić, Dijana2024-07-312024-07-31T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/95215engZhu, H., Xu, D., Patrício, P., & Mosić, D. (2024). The ( B , C )-core inverse of rectangular matrices. Em Quaestiones Mathematicae (Vol. 47, Issue 12, pp. 2429–2446). National Inquiry Services Center (NISC). https://doi.org/10.2989/16073606.2024.23747761607-36061727-933X10.2989/16073606.2024.2374776https://www.tandfonline.com/doi/abs/10.2989/16073606.2024.2374776info: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:RCAAP2025-04-12T05:29:23Zoai:repositorium.sdum.uminho.pt:1822/95215Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T06:24:45.353054Repositórios 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 The (B,C)-core inverse of rectangular matrices
title The (B,C)-core inverse of rectangular matrices
spellingShingle The (B,C)-core inverse of rectangular matrices
Zhu, Huihui
(B, C)-core inverses
Moore–Penrose inverses
Matrix equations
Ciências Naturais::Matemáticas
title_short The (B,C)-core inverse of rectangular matrices
title_full The (B,C)-core inverse of rectangular matrices
title_fullStr The (B,C)-core inverse of rectangular matrices
title_full_unstemmed The (B,C)-core inverse of rectangular matrices
title_sort The (B,C)-core inverse of rectangular matrices
author Zhu, Huihui
author_facet Zhu, Huihui
Xu, Daihan
Patrício, Pedro
Mosić, Dijana
author_role author
author2 Xu, Daihan
Patrício, Pedro
Mosić, Dijana
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Zhu, Huihui
Xu, Daihan
Patrício, Pedro
Mosić, Dijana
dc.subject.por.fl_str_mv (B, C)-core inverses
Moore–Penrose inverses
Matrix equations
Ciências Naturais::Matemáticas
topic (B, C)-core inverses
Moore–Penrose inverses
Matrix equations
Ciências Naturais::Matemáticas
description Let A be an m × n complex matrix and let B, C be n × m complex matrices. The main purpose of this article is to derive several new properties of the (B, C)-core inverse. Also, we introduce and investigate the dual (B, C)-core inverse in the context of rectangular matrices. The connection between (dual) (B, C)-core inverses and other generalized inverses is given. Finally, the minimum norm solution and least square solution to the equation are expressed by using the (B, C)-core inverse.
publishDate 2024
dc.date.none.fl_str_mv 2024-07-31
2024-07-31T00:00:00Z
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 https://hdl.handle.net/1822/95215
url https://hdl.handle.net/1822/95215
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Zhu, H., Xu, D., Patrício, P., & Mosić, D. (2024). The ( B , C )-core inverse of rectangular matrices. Em Quaestiones Mathematicae (Vol. 47, Issue 12, pp. 2429–2446). National Inquiry Services Center (NISC). https://doi.org/10.2989/16073606.2024.2374776
1607-3606
1727-933X
10.2989/16073606.2024.2374776
https://www.tandfonline.com/doi/abs/10.2989/16073606.2024.2374776
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 and Francis
publisher.none.fl_str_mv Taylor and Francis
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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