The core-EP inverse: A numerical approach for its acute perturbation

[EN] This paper studies the concept of stable perturbation B E Cnxn for the core-EP inverse of a matrix A E Cnxn with index k. For a given stable perturbation B of A, explicit expressions of its core-EP inverse B and its projection at zero are presented. Then, the perturbation bounds of B-A/A and B-...

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Detalles Bibliográficos
Autores: Zhou, Mengmeng, Chen, Jianlong, Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::0f8523e73dc5029f312be9595bae40e8
Acceso en línea:https://riunet.upv.es/handle/10251/234028
Access Level:acceso abierto
Palabra clave:Core inverse
Core-EP inverse
Stable perturbation
Acute perturbation
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spelling The core-EP inverse: A numerical approach for its acute perturbationZhou, MengmengChen, JianlongThome, Néstor|||0000-0001-5328-6637Core inverseCore-EP inverseStable perturbationAcute perturbation[EN] This paper studies the concept of stable perturbation B E Cnxn for the core-EP inverse of a matrix A E Cnxn with index k. For a given stable perturbation B of A, explicit expressions of its core-EP inverse B and its projection at zero are presented. Then, the perturbation bounds of B-A/A and B-A are given provided that B is a stable perturbation of A. In addition, we investigate the concept of acute perturbation of A. We give a perturbation analysis with respect to core-EP inverses. We provide a condition under which the acute perturbation coincides with the stable perturbation for core-EP inverses.This research is supported by the National Natural Science Foundation of China (No. 12101315, 12101539, 12171083), the China Scholarship Council (File No. 201906090122), Natural Science Foundation of Jiangsu Higher Education Institutions of China (21KJB110004), the Qing Lan Project of Jiangsu Province. The third author is partially supported by Ministerio de Economia, Industria y Competitividad of Spain (Grant Red de Excelencia RED2022-134176-T), partially supported by Universidad de Buenos Aires, Argentina (EXP-UBA: 13.019/2017, 20020170100350BA), and partially supported by Universidad Nacional de La Pampa, Argentina, Facultad de Ingenieria (Resolucion delCD No 135/19); Universidad Nacional de Rio Cuarto[Grant PPI 18/C559]; Universidad Nacional del Sur[Grant PGI 24/L108].Taylor & FrancisEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarChina Scholarship CouncilUniversidad de Buenos AiresUniversidad Nacional de La PampaMinisterio de Ciencia e InnovaciónUniversidad Nacional de Río CuartoUniversidad Nacional del Sur, ArgentinaUniversidad Nacional de La Pampa, ArgentinaNational Natural Science Foundation of ChinaJiangsu Province Research Scheme of Nature Science for Higher Education InstitutionRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-03-24journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/234028reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación Ministerio de Ciencia e Innovación RED2022-134176-T RED TEMÁTICA DE ÁLGEBRA LINEAL, ANÁLISIS MATRICIAL Y APLICACIONES.Universidad Nacional de La Pampa Universidad Nacional de La Pampa Resol. N.° 135%2F19 del CD de la Fac. de Ing. Matrices Inversas Generalizadas y Órdenes ParcialesNational Natural Science Foundation of China https://doi.org/10.13039/501100001809 12101315National Natural Science Foundation of China https://doi.org/10.13039/501100001809 12101539National Natural Science Foundation of China https://doi.org/10.13039/501100001809 12171083Universidad de Buenos Aires https://doi.org/10.13039/501100005363 20020170100350BAUniversidad Nacional del Sur, Argentina https://doi.org/10.13039/501100005740 PGI 24%2FL108China Scholarship Council https://doi.org/10.13039/501100004543 201906090122Universidad Nacional de Río Cuarto https://doi.org/10.13039/501100007481 PPI 18%2FC559Universidad Nacional de La Pampa, Argentina https://doi.org/10.13039/501100005101 135%2F19Jiangsu Province Research Scheme of Nature Science for Higher Education Institution Jiangsu Province Research Scheme of Nature Science for Higher Education Institution 21KJB110004open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:dnet:riunet______::0f8523e73dc5029f312be9595bae40e82026-06-13T07:49:27Z
dc.title.none.fl_str_mv The core-EP inverse: A numerical approach for its acute perturbation
title The core-EP inverse: A numerical approach for its acute perturbation
spellingShingle The core-EP inverse: A numerical approach for its acute perturbation
Zhou, Mengmeng
Core inverse
Core-EP inverse
Stable perturbation
Acute perturbation
title_short The core-EP inverse: A numerical approach for its acute perturbation
title_full The core-EP inverse: A numerical approach for its acute perturbation
title_fullStr The core-EP inverse: A numerical approach for its acute perturbation
title_full_unstemmed The core-EP inverse: A numerical approach for its acute perturbation
title_sort The core-EP inverse: A numerical approach for its acute perturbation
dc.creator.none.fl_str_mv Zhou, Mengmeng
Chen, Jianlong
Thome, Néstor|||0000-0001-5328-6637
author Zhou, Mengmeng
author_facet Zhou, Mengmeng
Chen, Jianlong
Thome, Néstor|||0000-0001-5328-6637
author_role author
author2 Chen, Jianlong
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
China Scholarship Council
Universidad de Buenos Aires
Universidad Nacional de La Pampa
Ministerio de Ciencia e Innovación
Universidad Nacional de Río Cuarto
Universidad Nacional del Sur, Argentina
Universidad Nacional de La Pampa, Argentina
National Natural Science Foundation of China
Jiangsu Province Research Scheme of Nature Science for Higher Education Institution
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Core inverse
Core-EP inverse
Stable perturbation
Acute perturbation
topic Core inverse
Core-EP inverse
Stable perturbation
Acute perturbation
description [EN] This paper studies the concept of stable perturbation B E Cnxn for the core-EP inverse of a matrix A E Cnxn with index k. For a given stable perturbation B of A, explicit expressions of its core-EP inverse B and its projection at zero are presented. Then, the perturbation bounds of B-A/A and B-A are given provided that B is a stable perturbation of A. In addition, we investigate the concept of acute perturbation of A. We give a perturbation analysis with respect to core-EP inverses. We provide a condition under which the acute perturbation coincides with the stable perturbation for core-EP inverses.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-03-24
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/10251/234028
url https://riunet.upv.es/handle/10251/234028
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 Ministerio de Ciencia e Innovación RED2022-134176-T RED TEMÁTICA DE ÁLGEBRA LINEAL, ANÁLISIS MATRICIAL Y APLICACIONES.
Universidad Nacional de La Pampa Universidad Nacional de La Pampa Resol. N.° 135%2F19 del CD de la Fac. de Ing. Matrices Inversas Generalizadas y Órdenes Parciales
National Natural Science Foundation of China https://doi.org/10.13039/501100001809 12101315
National Natural Science Foundation of China https://doi.org/10.13039/501100001809 12101539
National Natural Science Foundation of China https://doi.org/10.13039/501100001809 12171083
Universidad de Buenos Aires https://doi.org/10.13039/501100005363 20020170100350BA
Universidad Nacional del Sur, Argentina https://doi.org/10.13039/501100005740 PGI 24%2FL108
China Scholarship Council https://doi.org/10.13039/501100004543 201906090122
Universidad Nacional de Río Cuarto https://doi.org/10.13039/501100007481 PPI 18%2FC559
Universidad Nacional de La Pampa, Argentina https://doi.org/10.13039/501100005101 135%2F19
Jiangsu Province Research Scheme of Nature Science for Higher Education Institution Jiangsu Province Research Scheme of Nature Science for Higher Education Institution 21KJB110004
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
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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