Simultaneous extension of generalized BT-inverses and core-EP inverses
Abdessalam Kara, N\'estor Thome, Dragan S. Djordjevi'c
TL;DR
This paper introduces a new generalized inverse concept for complex matrices, explores its properties, and provides novel representations and characterizations of related weighted inverses and generalized inverse forms.
Contribution
It presents a new generalized inverse definition, along with representations and properties, extending the theory of matrix inverses and their weighted variants.
Findings
New representation matrices for W-weighted BT-inverse and core-EP inverse
Characterizations of various generalized inverses including A A^ extdagger, A^{ extdagger,W}
Properties and characterizations of the introduced generalized inverse
Abstract
In this paper we introduce the generalized inverse of complex square matrix with respect to other matrix having same size. Some of its representations, properties and characterizations are obtained. Also some new representation matrices of W-weighted BT-inverse and W-weighted core-EP inverse are determined as well as characterizations of generalized inverses A A^\odagger, A^{odagger,W}, A^\diamond, A^{\diamond,W}.
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