Characterizations, approximation and perturbations of the core-EP inverse

H Ma, PS Stanimirović - Applied Mathematics and Computation, 2019 - Elsevier
Several characterizations and representations for the core-EP inverse are presented and
investigated. To that goal, several explicit bordering technique for characterizing and …

Effective algorithms of the Moore-Penrose inverse matrices for extreme learning machine

S Lu, X Wang, G Zhang, X Zhou - Intelligent Data Analysis, 2015 - content.iospress.com
Extreme learning machine (ELM) is a learning algorithm for single-hidden layer feedforward
neural networks (SLFNs) which randomly chooses hidden nodes and analytically …

Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications

H Ma, X Gao, PS Stanimirović - Applied Mathematics and Computation, 2020 - Elsevier
This paper is a study on main properties and characterizations of the DMP inverse. Also,
corresponding representations and computational procedures are derived. Particularly, an …

A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix

W Li, Z Li - Applied Mathematics and Computation, 2010 - Elsevier
Based on a quadratical convergence method, a family of iterative methods to compute the
approximate inverse of square matrix are presented. The theoretical proofs and numerical …

Integration enhanced and noise tolerant ZNN for computing various expressions involving outer inverses

PS Stanimirović, VN Katsikis, S Li - Neurocomputing, 2019 - Elsevier
An integration-enhanced noise-tolerant zeroing neural network (IENTZNN) model for
computing various expressions involving outer inverses is defined and considered. The …

A family of higher-order convergent iterative methods for computing the Moore–Penrose inverse

H Chen, Y Wang - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, we extend the iterative method for computing the inner inverse of a matrix
proposed in Li and Li [WG Li, Z. Li, A family of iterative methods for computing the …

Complex varying-parameter Zhang neural networks for computing core and core-EP inverse

M Zhou, J Chen, PS Stanimirović, VN Katsikis… - Neural Processing …, 2020 - Springer
An improved complex varying-parameter Zhang neural network (CVPZNN) for computing
outer inverses is established in this paper. As a consequence, three types of complex Zhang …

Representations for the weak group inverse

D Mosić, PS Stanimirović - Applied Mathematics and Computation, 2021 - Elsevier
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 …

[HTML][HTML] Iterative method for computing the Moore–Penrose inverse based on Penrose equations

MD Petković, PS Stanimirović - Journal of Computational and applied …, 2011 - Elsevier
An iterative algorithm for estimating the Moore–Penrose generalized inverse is developed.
The main motive for the construction of the algorithm is simultaneous usage of Penrose …

Complex ZFs for computing time-varying complex outer inverses

XZ Wang, PS Stanimirović, Y Wei - Neurocomputing, 2018 - Elsevier
Our first aim is to extend the Zhang Neural Network (ZNN) algorithmic conceptual
framework, developed so far in the computation of the matrix inverse, pseudoinverse, and …