Further properties on the core partial order and other matrix partial orders

This paper carries further the study of core partial order initiated by Baksalary and Trenkler [Core inverse of matrices, Linear Multilinear Algebra. 2010;58:681-697]. We have extensively studied the core partial order, and some new characterizations are obtained in this paper. In addition, simple e...

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Authors: Malik, Saroj B., Rueda, Laura Catalina, Thome, Néstor|||0000-0001-5328-6637
Format: article
Publication Date:2014
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/57052
Online Access:https://riunet.upv.es/handle/10251/57052
Access Level:Open access
Keyword:Minus partial order
Core partial order
Core inverse
Matrix decomposition
MATEMATICA APLICADA
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spelling Further properties on the core partial order and other matrix partial ordersMalik, Saroj B.Rueda, Laura CatalinaThome, Néstor|||0000-0001-5328-6637Minus partial orderCore partial orderCore inverseMatrix decompositionMATEMATICA APLICADAThis paper carries further the study of core partial order initiated by Baksalary and Trenkler [Core inverse of matrices, Linear Multilinear Algebra. 2010;58:681-697]. We have extensively studied the core partial order, and some new characterizations are obtained in this paper. In addition, simple expressions for the already known characterizations of the minus, the star (and one-sided star), the sharp (and one-sided sharp) and the diamond partial orders are also obtained by using a Hartwig-Spindelbck decomposition.This author was partially supported by Ministry of Education of Spain [grant number DGI MTM2010-18228] and by Universidad Nacional de La Pampa, Argentina, Facultad de Ingenieria [grant number Resol. No 049/11].Taylor & FrancisEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarMinisterio de Ciencia e InnovaciónUniversidad Nacional de La Pampa, ArgentinaRepositorio Institucional de la Universitat Politècnica de València Riunet20142014-12-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/57052reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2010-18228 PROPIEDADES MATRICIALES CON APLICACION A LA TEORIA DE CONTROLUniversidad Nacional de La Pampa, Argentina https://doi.org/10.13039/501100005101 049%2F11open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/570522026-06-13T07:49:27Z
dc.title.none.fl_str_mv Further properties on the core partial order and other matrix partial orders
title Further properties on the core partial order and other matrix partial orders
spellingShingle Further properties on the core partial order and other matrix partial orders
Malik, Saroj B.
Minus partial order
Core partial order
Core inverse
Matrix decomposition
MATEMATICA APLICADA
title_short Further properties on the core partial order and other matrix partial orders
title_full Further properties on the core partial order and other matrix partial orders
title_fullStr Further properties on the core partial order and other matrix partial orders
title_full_unstemmed Further properties on the core partial order and other matrix partial orders
title_sort Further properties on the core partial order and other matrix partial orders
dc.creator.none.fl_str_mv Malik, Saroj B.
Rueda, Laura Catalina
Thome, Néstor|||0000-0001-5328-6637
author Malik, Saroj B.
author_facet Malik, Saroj B.
Rueda, Laura Catalina
Thome, Néstor|||0000-0001-5328-6637
author_role author
author2 Rueda, Laura Catalina
Thome, Néstor|||0000-0001-5328-6637
author2_role author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería de Telecomunicación
Departamento de Matemática Aplicada
Instituto Universitario de Matemática Multidisciplinar
Ministerio de Ciencia e Innovación
Universidad Nacional de La Pampa, Argentina
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Minus partial order
Core partial order
Core inverse
Matrix decomposition
MATEMATICA APLICADA
topic Minus partial order
Core partial order
Core inverse
Matrix decomposition
MATEMATICA APLICADA
description This paper carries further the study of core partial order initiated by Baksalary and Trenkler [Core inverse of matrices, Linear Multilinear Algebra. 2010;58:681-697]. We have extensively studied the core partial order, and some new characterizations are obtained in this paper. In addition, simple expressions for the already known characterizations of the minus, the star (and one-sided star), the sharp (and one-sided sharp) and the diamond partial orders are also obtained by using a Hartwig-Spindelbck decomposition.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-12-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/57052
url https://riunet.upv.es/handle/10251/57052
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2010-18228 PROPIEDADES MATRICIALES CON APLICACION A LA TEORIA DE CONTROL
Universidad Nacional de La Pampa, Argentina https://doi.org/10.13039/501100005101 049%2F11
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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