7 papers
Parametrizing -weighted BT inverse to obtain the -weighted -BT inverse
D. E. Ferreyra, N. Thome, C. Torigino
The core-EP and BT inverses for rectangular matrices were studied recently in the literature. The main aim of this paper is to unify both concepts by means of a new kind of general…
The -weighted -weak core inverse
D. E. Ferreyra, D. Mosic
Recently, Malik and Ferreyra introduced the -weak core inverse for complex square matrices which generalizes the core-EP inverse, the WC inverse, and therefore the core inverse.…
A new generalized inverse for rectangular matrices. A general approach
D. E. Ferreyra, F. E. Levis, R. P. Moas +1
Rao and Mitra in 1972 introduced two different types of constraints to extend the concept of Bott-Duffin inverse and defined a new constrained inverse. Mary in 2011 defined the inv…
Extending EP matrices by means of recent generalized inverses
D. E. Ferreyra, F. E. Levis, A. N. Priori +1
It is well known that a square complex matrix is called EP if it commutes with its Moore-Penrose inverse. In this paper, new classes of matrices which extend this concept are chara…
One sided Star and Core orthogonality of matrices
D. E. Ferreyra, F. E. Levis, Saroj B. Malik +1
We investigate two one-sided orthogonalities of matrices, the first of which is left (right) -orthogonality for rectangular matrices and the other is left (right) core-orthogona…
The -weak core inverse
D. E. Ferreyra, Saroj B. Malik
Since the day the core inverse has been known in a paper of Bakasarly and Trenkler, it has been widely researched. So far, there are four generalizations of this inverse for the ca…
Relative EP matrices
D. E. Ferreyra, Saroj B. Malik
The purpose of the present work is to introduce the concept of relative EP matrix of a rectangular matrix relative to a partial isometry (or, in short, -EP matrix) hitherto unkn…