The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring

Bibliographic Details
Main Author: Zhu, Huihui
Publication Date: 2014
Other Authors: Chen, Jianlong, Zhang, Xiaoxiang, Patrício, Pedro
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/32354
Summary: In this paper, we study representations of the Moore-Penrose inverse of a 2 x 2 matrix M over a *-regular ring with two term star-cancellation. As applications, some necessary and sufficient conditions for the Moore-Penrose inverse of M to have different types are given.
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spelling The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ringMoore-Penrose inverse*-regular ringTwo term star-cancellationCiências Naturais::MatemáticasScience & TechnologyIn this paper, we study representations of the Moore-Penrose inverse of a 2 x 2 matrix M over a *-regular ring with two term star-cancellation. As applications, some necessary and sufficient conditions for the Moore-Penrose inverse of M to have different types are given.This research is supported by the National Natural Science Foundation of China (11201063) and (11371089), the Specialized Research Fund for the Doctoral Program of Higher Education (20120092110020), the Foundation of Graduate Innovation Program of Jiangsu Province(CXLX13-072) and the Fundamental Research Funds for the Central Universities (22420135011), `FEDER Funds through "Programa Operacional Factores de Competitividade-COMPETE' and the Portuguese Funds through FCT-`Fundação para a Ciência e a Tecnologia', within the project PEst-OE/MAT/UI0013/2014.ElsevierUniversidade do MinhoZhu, HuihuiChen, JianlongZhang, XiaoxiangPatrício, Pedro2014-11-112014-11-11T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/32354eng0096-300310.1016/j.amc.2014.08.026http://www.sciencedirect.com/science/article/pii/S0096300314011205info: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:RCAAP2025-04-12T05:04:35Zoai:repositorium.sdum.uminho.pt:1822/32354Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:00:50.472136Repositórios 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 Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring
title The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring
spellingShingle The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring
Zhu, Huihui
Moore-Penrose inverse
*-regular ring
Two term star-cancellation
Ciências Naturais::Matemáticas
Science & Technology
title_short The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring
title_full The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring
title_fullStr The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring
title_full_unstemmed The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring
title_sort The Moore-Penrose inverse of 2 x 2 matrices over a certain *-regular ring
author Zhu, Huihui
author_facet Zhu, Huihui
Chen, Jianlong
Zhang, Xiaoxiang
Patrício, Pedro
author_role author
author2 Chen, Jianlong
Zhang, Xiaoxiang
Patrício, Pedro
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Zhu, Huihui
Chen, Jianlong
Zhang, Xiaoxiang
Patrício, Pedro
dc.subject.por.fl_str_mv Moore-Penrose inverse
*-regular ring
Two term star-cancellation
Ciências Naturais::Matemáticas
Science & Technology
topic Moore-Penrose inverse
*-regular ring
Two term star-cancellation
Ciências Naturais::Matemáticas
Science & Technology
description In this paper, we study representations of the Moore-Penrose inverse of a 2 x 2 matrix M over a *-regular ring with two term star-cancellation. As applications, some necessary and sufficient conditions for the Moore-Penrose inverse of M to have different types are given.
publishDate 2014
dc.date.none.fl_str_mv 2014-11-11
2014-11-11T00:00:00Z
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/1822/32354
url https://hdl.handle.net/1822/32354
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0096-3003
10.1016/j.amc.2014.08.026
http://www.sciencedirect.com/science/article/pii/S0096300314011205
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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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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