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arXiv · 2005.02974

Further results on weighted core-EP inverse of matrices

Ratikanta Behera·Gayatri Maharana·Jajati Keshari Sahoo
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Abstract

In this paper, we introduce the notation of $E$-weighted core-EP and $F$-weighted dual core-EP inverse of matrices. We then obtain a few explicit expressions for the weighted core-EP inverse of matrices through other generalized inverses. Further, we discuss the existence of generalized weighted Moore-Penrose inverse and additive properties of the weighted core-EP inverse of matrices. In addition to these, we propose the star weighted core-EP and weighted core-EP star class of matrices for solving the system of matrix equations. We further elaborate on this theory by producing a few representation and characterization of star weighted core-EP and weighted core-EP star classes of matrices.

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Ratikanta Behera, Gayatri Maharana, Jajati Keshari Sahoo. 2020-05-06. Further results on weighted core-EP inverse of matrices. https://doi.org/10.1007/s00025-020-01296-z

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