Resumen:
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[EN] In this paper, we prove that a complex square matrix is weak group matrix if the m-th power of this matrix commutes with its weak group inverse, where m is an arbitrary positive integer. Firstly, some new characterizations ...[+]
[EN] In this paper, we prove that a complex square matrix is weak group matrix if the m-th power of this matrix commutes with its weak group inverse, where m is an arbitrary positive integer. Firstly, some new characterizations of weak group matrices are investigated by means of core-EP decomposition. Secondly, we study new equivalent conditions of the weak group matrix by using commutator and rank equalities. Finally, the relationships between {m, k} -core EP matrices, k-EP matrices and weak group matrices are given.
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Código del Proyecto:
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info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT//RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/
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info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT//RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/
info:eu-repo/grantAgreement/Universidad Nacional del Sur - Argentina//24%2FL108//VARIEDADES Y CUASIVARIEDADES EN ÁLGEBRA DE LA LÓGICA/
info:eu-repo/grantAgreement/Universidad Nacional de Río Cuarto//Res. 083%2F2020//Aproximación de Funciones e Inversas Generalizadas/
info:eu-repo/grantAgreement/Universidad Nacional de La Pampa//Resol. N.° 135%2F19 del CD de la Fac. de Ing.//Matrices Inversas Generalizadas y Órdenes Parciales/
info:eu-repo/grantAgreement/NSFC//12101315/
info:eu-repo/grantAgreement/NSFC//12101539/
info:eu-repo/grantAgreement/NSFC//12171083/
info:eu-repo/grantAgreement/CSC//201906090122/
info:eu-repo/grantAgreement/Jiangsu Province Research Scheme of Nature Science for Higher Education Institution//21KJB110004/
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Agradecimientos:
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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 ...[+]
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 Economía y Competitividad of Spain (grant Red de Excelencia MTM2017-90682-REDT), by Project PGI 24/L108, Departamento de Matematica, Universidad Nacional del Sur (UNS), Argentina, by Universidad Nacional de Río Cuarto (Grant PPI 083/2020), and by Universidad Nacional de La Pampa, Facultad de Ingeniería (Grant Resol. Nro. 135/19).
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