The Moore–Penrose pseudoinverse: A tutorial review of the theory

JCA Barata, MS Hussein - Brazilian Journal of Physics, 2012 - Springer
In the last decades, the Moore–Penrose pseudoinverse has found a wide range of
applications in many areas of science and became a useful tool for physicists dealing, for …

Different complex ZFs leading to different complex ZNN models for time-varying complex generalized inverse matrices

B Liao, Y Zhang - IEEE Transactions on Neural Networks and …, 2013 - ieeexplore.ieee.org
As a special class of recurrent neural network, Zhang neural network (ZNN) has been
recently proposed since 2001 for solving various time-varying problems, and has shown …

Object reconstitution using pseudo-inverse for ghost imaging

C Zhang, S Guo, J Cao, J Guan, F Gao - Optics Express, 2014 - opg.optica.org
We propose a novel method for object reconstruction of ghost imaging based on Pseudo-
Inverse, where the original objects are reconstructed by computing the pseudo-inverse of …

[PDF][PDF] Provably secure and efficient audio compression based on compressive sensing

EW Abood, ZA Hussien, HA Kawi… - International Journal of …, 2023 - academia.edu
The advancement of systems with the capacity to compress audio signals and
simultaneously secure is a highly attractive research subject. This is because of the need to …

[HTML][HTML] The Moore–Penrose inverse: a hundred years on a frontline of physics research

OM Baksalary, G Trenkler - The European Physical Journal H, 2021 - Springer
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 …

A parallel computing method based on zeroing neural networks for time-varying complex-valued matrix Moore-Penrose inversion

X Xiao, C Jiang, H Lu, L Jin, D Liu, H Huang, Y Pan - Information Sciences, 2020 - Elsevier
This paper analyzes the existing zeroing neural network (ZNN) models from the perspective
of control theory. It proposes an exclusive ZNN model for solving the dynamic complex …

[HTML][HTML] Accurate computation of the Moore–Penrose inverse of strictly totally positive matrices

A Marco, JJ Martínez - Journal of Computational and Applied Mathematics, 2019 - Elsevier
The computation of the Moore–Penrose inverse of structured strictly totally positive matrices
is addressed. Since these matrices are usually very ill-conditioned, standard algorithms fail …

Discrete gradient-zeroing neural dynamics for future Moore–Penrose inverse with application to tracking control of manipulator

W Wu, Y Zhang - Expert Systems with Applications, 2023 - Elsevier
To handle the future Moore–Penrose inverse problem effectively, the continuous gradient-
zeroing neural dynamics (CGZND) model without inverse computing is proposed via …

A noise-acceptable ZNN for computing complex-valued time-dependent matrix pseudoinverse

Y Lei, B Liao, Q Yin - IEEE Access, 2019 - ieeexplore.ieee.org
The issue of complex-valued time-dependent pseudoinverse often exists in science and
engineering fields. In the existing studies, many models were presented for solving complex …

[HTML][HTML] Calculating the Moore–Penrose generalized inverse on massively parallel systems

V Stanojević, L Kazakovtsev, PS Stanimirović… - Algorithms, 2022 - mdpi.com
In this work, we consider the problem of calculating the generalized Moore–Penrose
inverse, which is essential in many applications of graph theory. We propose an algorithm …