Revisiting the core EP inverse and its extension to rectangular matrices
By David Eduardo Ferreyra, F. Levis, N. Thome. 2017
140 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Signal Processing
View Paper: https://www.semanticscholar.org/paper/520c43c8236f53c4312cb7526fa4c1c9113effc0
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In Atomic and Molecular Physics, and Optics
In Computational Theory and Mathematics
In Signal Processing
Citations in the corpus
- Weighted core–EP inverse of an operator between Hilbert spaces (2019, methodology): “So, the weighted core–EP inverse is an extension of the weighted core–EP inverse of a rectangular matrix [17] and the core–EP inverse of a Hilbert space operator [15].”