Abstract The Moore–Penrose inverse celebrated its 100th birthday in 2020, as the notion
standing behind the term was first defined by Eliakim Hastings Moore in 1920 (Bull Am Math …

With the coming of the big data era, high-order high-dimensional structured tensors received
much attentions of researchers' in recent years, and now they are developed into a new …

This paper is a study on main properties and characterizations of the DMP inverse. Also,
corresponding representations and computational procedures are derived. Particularly, an …

In this paper, we focus on a generalized singular fractional order Kelvin–Voigt model with a
nonlinear operator. By using analytic techniques, the uniqueness of solution and an iterative …

A dynamic complex-valued matrix pseudoinversion (DCVMP) is encountered in some
special environments, where the system parameters contain the dynamic, magnitude, and …

We investigate two iterative methods for computing the DMP inverse. The necessary and
sufficient conditions for convergence of our schemes are considered and the error estimate …

Solution structures of tensor complementarity problem Page 1 Front. Math. China 2018, 13(4):
935–945 https://doi.org/10.1007/s11464-018-0675-2 Solution structures of tensor …

In this letter, we propose a novel iterative method for computing generalized inverse, based
on a novel KKT formulation. The proposed iterative algorithm requires making four matrix …

In this paper, an iterative scheme is proposed to find the roots of a nonlinear equation. It is
shown that this iterative method has fourth order convergence in the neighborhood of the …

A fast and efficient Newton-Shultz-type iterative method is presented to compute the inverse
of an invertible tensor. Analysis of the convergence error shows that the proposed method …