The pseudo core inverse of a companion matrix
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/1822/64252 |
Resumo: | The notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index 1. Recently, the notion of pseudo core inverse extended the notion of core inverse to an element of an arbitrary index in *-rings; meanwhile, it characterized the core-EP inverse introduced by Manjunatha Prasad and Mohana for complex matrices, in terms of three equations. Many works have been done on classical generalized inverses of companion matrices and Toeplitz matrices. In this paper, we discuss existence criteria and formulae of the pseudo core inverse of a companion matrix over a *-ring. A {1, 3}-inverse of a Toeplitz matrix plays an important role in that process. |
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The pseudo core inverse of a companion matrixPseudo core inverseCore inverseCore-EP inverseCompanion matrixToeplitz matrixCiências Naturais::MatemáticasScience & TechnologyThe notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index 1. Recently, the notion of pseudo core inverse extended the notion of core inverse to an element of an arbitrary index in *-rings; meanwhile, it characterized the core-EP inverse introduced by Manjunatha Prasad and Mohana for complex matrices, in terms of three equations. Many works have been done on classical generalized inverses of companion matrices and Toeplitz matrices. In this paper, we discuss existence criteria and formulae of the pseudo core inverse of a companion matrix over a *-ring. A {1, 3}-inverse of a Toeplitz matrix plays an important role in that process.- This research is supported by the National Natural Science Foundation of China (No.11771076, No.11471186), the Scientific Innovation Research of College Graduates in Jiangsu Province (No.KYZZ16_0112).Akadémiai KiadóUniversidade do MinhoGao, YuefengChen, JianlongPatrício, PedroWang, Dingguo2018-10-012018-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/64252eng0081-69061588-289610.1556/012.2018.55.3.1398https://akademiai.com/doi/abs/10.1556/012.2018.55.3.1398info: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:RCAAP2023-07-21T12:36:30Zoai:repositorium.sdum.uminho.pt:1822/64252Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:32:36.579067Repositório 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 |
The pseudo core inverse of a companion matrix |
title |
The pseudo core inverse of a companion matrix |
spellingShingle |
The pseudo core inverse of a companion matrix Gao, Yuefeng Pseudo core inverse Core inverse Core-EP inverse Companion matrix Toeplitz matrix Ciências Naturais::Matemáticas Science & Technology |
title_short |
The pseudo core inverse of a companion matrix |
title_full |
The pseudo core inverse of a companion matrix |
title_fullStr |
The pseudo core inverse of a companion matrix |
title_full_unstemmed |
The pseudo core inverse of a companion matrix |
title_sort |
The pseudo core inverse of a companion matrix |
author |
Gao, Yuefeng |
author_facet |
Gao, Yuefeng Chen, Jianlong Patrício, Pedro Wang, Dingguo |
author_role |
author |
author2 |
Chen, Jianlong Patrício, Pedro Wang, Dingguo |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Gao, Yuefeng Chen, Jianlong Patrício, Pedro Wang, Dingguo |
dc.subject.por.fl_str_mv |
Pseudo core inverse Core inverse Core-EP inverse Companion matrix Toeplitz matrix Ciências Naturais::Matemáticas Science & Technology |
topic |
Pseudo core inverse Core inverse Core-EP inverse Companion matrix Toeplitz matrix Ciências Naturais::Matemáticas Science & Technology |
description |
The notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index 1. Recently, the notion of pseudo core inverse extended the notion of core inverse to an element of an arbitrary index in *-rings; meanwhile, it characterized the core-EP inverse introduced by Manjunatha Prasad and Mohana for complex matrices, in terms of three equations. Many works have been done on classical generalized inverses of companion matrices and Toeplitz matrices. In this paper, we discuss existence criteria and formulae of the pseudo core inverse of a companion matrix over a *-ring. A {1, 3}-inverse of a Toeplitz matrix plays an important role in that process. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-10-01 2018-10-01T00:00:00Z |
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/1822/64252 |
url |
http://hdl.handle.net/1822/64252 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0081-6906 1588-2896 10.1556/012.2018.55.3.1398 https://akademiai.com/doi/abs/10.1556/012.2018.55.3.1398 |
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 |
Akadémiai Kiadó |
publisher.none.fl_str_mv |
Akadémiai Kiadó |
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 |
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1799132839507132416 |