Specific definitions of the core and core-EP inverses of complex tensors are introduced.
Some characterizations, representations and properties of the core and core-EP inverses …

In this paper, the DMP and CMP inverses of tensors via Einstein product are defined. Some
characterizations, representations, and properties for these generalized inverses are …

We consider the solvability of four new restricted quaternion matrix equations (QME) and
prove that these equations have the unique solutions determined by adequate MPD and …

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 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 …

High-and multi-dimensional array data are becoming increasingly available. They admit a
natural representation as tensors and call for appropriate statistical tools. We propose a new …

Generalized inverses of tensors play increasingly important roles in computational
mathematics and numerical analysis. It is appropriate to develop the theory of generalized …

In this paper, for the first time in literature, we introduce one-sided weighted inverses and
extend the notions of one-sided inverses, outer inverses and inverses along given elements …

In this paper, a unified approach for various extended inverses of tensors, the generalized
bilateral inverse of tensors via Einstein products, is introduced and we show that a number …

In this paper, we introduce new representations and characterizations of the outer inverse of
tensors through QR decomposition. Derived representations are usable in generating …