The concept of the generalized inverses was first introduced by I. Fredholm [81] in 1903. He
proposed a generalized inverse of an integral operator, called pseudoinverse. The …

Several characterizations and representations for the core-EP inverse are presented and
investigated. To that goal, several explicit bordering technique for characterizing and …

In this paper, we present necessary and sufficient conditions for the k-commutative equality
A k X= XA k, where X is an outer generalized inverse of the square matrix A. Also, we give …

In this paper, we extend notions of the weighted core-EP right and left inverses, the weighted
DMP and MPD inverses, and the CMP inverse to matrices over the quaternion skew field …

In this paper we extend the definition of BT inverse of square complex matrices to
rectangular matrices. This new generalized inverse (called the W-weighted BT inverse) …

We extend the notation of the CMP inverse for a square matrix to a rectangular matrix.
Precisely, we define and characterize a new generalized inverse called the weighted CMP …

The main contribution of this paper is to develop explicit expressions for the Drazin inverse
of two kinds of anti-triangular block complex matrices under new assumptions. Further, we …

In this paper, we investigate the weighted core-EP inverse introduced by Ferreyra, Levis and
Thome. Several computational representations of the weighted core-EP inverse are …

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 …

The notion of the Drazin inverse of an even‐order tensors with the Einstein product was
introduced, very recently [J. Ji and Y. Wei. Comput. Math. Appl., 75 (9),(2018), pp. 3402 …