In this paper, we investigate the tensor similarity and propose the T-Jordan canonical form
and its properties. The concepts of the T-minimal polynomial and the T-characteristic …

The aim of this paper is to provide new representations and characterizations of the weak
group inverse. We give a relation between the weak group inverse and a corresponding …

Our main goal is to present new representations and properties of the m-weak group inverse
which presents a generalization of the weak group inverse, the generalized group inverse …

In this paper, we investigate the theory of the core-EP inverse of third-order tensors via the T-
product (called T-core-EP inverse). A new decomposition called T-core-EP decomposition of …

This paper proposes an algorithm based on the Shultz iterative method and divided
differences to find the roots of nonlinear equations. Using the new method, we present a …

The main goal of this paper is to present two new classes of generalized inverses in order to
extend the concepts of the (dual) core–EP inverse and the (dual) w-core inverse. Precisely …

Abstract Let A, B∈ ℂ n× n with ind (A)= k and ind (B)= s and let LB= B 2 B†○. A new
condition (C s,∗): R (A k)∩ N ((B s)∗)={0} and R (B s)∩ N ((A k)∗)={0}, is defined. Some …

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 …

We present characterizations and representations for the CMP inverse. Also, we explore the
CMP inverse of a block triangular matrix and its sign pattern, propose a successive matrix …