Revisiting the core EP inverse and its extension to rectangular matrices |
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| Authors: | DE Ferreyra FE Levis |
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| Institution: | 1. Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Av. Uruguay 151, Santa Rosa, 6300, La Pampa, Argentina;2. Facultad de Ciencias Exactas Físico Químicas y Naturales, Universidad Nacional de Río Cuarto, RN 36 Km 601, Río Cuarto, 5800, Córdoba, Argentina.;3. Facultad de Ciencias Exactas Físico Químicas y Naturales, Universidad Nacional de Río Cuarto, RN 36 Km 601, Río Cuarto, 5800, Córdoba, Argentina. |
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| Abstract: | In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in 12], Core EP inverse, Linear and Multilinear Algebra 62(3) (2014), 792–802. Firstly, we give a new representation and a new characterization of the core EP inverse. Then, we study some properties of the core EP inverse by using a representation by block matrices. Secondly, we extend the notion of core EP inverse to rectangular matrices by means of a weighted core EP decomposition. Finally, we study some properties of weighted core EP inverses. |
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| Keywords: | 15A09 |
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