Global exponential convergence and stability of gradient-based neural network for online matrix inversion

Y Zhang, Y Shi, K Chen, C Wang - Applied Mathematics and Computation, 2009 - Elsevier
Wang proposed a gradient-based neural network (GNN) to solve online matrix-inverses.
Global asymptotical convergence was shown for such a neural network when applied to …

[HTML][HTML] A new design formula exploited for accelerating Zhang neural network and its application to time-varying matrix inversion

L Xiao - Theoretical Computer Science, 2016 - Elsevier
Online solution to time-varying matrix inverse is further investigated by proposing a new
design formula, which can accelerate Zhang neural network (ZNN) to finite-time …

From Zhang neural network to Newton iteration for matrix inversion

Y Zhang, W Ma, B Cai - … Transactions on Circuits and Systems I …, 2008 - ieeexplore.ieee.org
Different from gradient-based neural networks, a special kind of recurrent neural network
(RNN) has recently been proposed by Zhang for online matrix inversion. Such an RNN is …

The link between Newton iteration for matrix inversion and Zhang neural network (ZNN)

Y Zhang, W Ma, C Yi - 2008 IEEE International Conference on …, 2008 - ieeexplore.ieee.org
Different from gradient-based neural networks, a special kind of recurrent neural network
has recently been proposed by Zhang et al for online matrix inversion. Such a neural …

Robustness analysis of a hybrid of recursive neural dynamics for online matrix inversion

K Chen, C Yi - Applied Mathematics and Computation, 2016 - Elsevier
Encouraged by superior convergence performance achieved by a recently-proposed hybrid
of recursive neural dynamics for online matrix inversion, we investigate its robustness …

Simulation and verification of Zhang neural network for online time-varying matrix inversion

Y Zhang, C Yi, W Ma - Simulation Modelling Practice and Theory, 2009 - Elsevier
Differing from gradient-based neural networks (GNN), a special kind of recurrent neural
network has recently been proposed by Zhang et al. for real-time inversion of time-varying …

GNN model for time-varying matrix inversion with robust finite-time convergence

Y Zhang, S Li, J Weng, B Liao - IEEE Transactions on Neural …, 2022 - ieeexplore.ieee.org
As a type of recurrent neural networks (RNNs) modeled as dynamic systems, the gradient
neural network (GNN) is recognized as an effective method for static matrix inversion with …

Integration-enhanced Zhang neural network for real-time-varying matrix inversion in the presence of various kinds of noises

L Jin, Y Zhang, S Li - IEEE transactions on neural networks and …, 2015 - ieeexplore.ieee.org
Matrix inversion often arises in the fields of science and engineering. Many models for matrix
inversion usually assume that the solving process is free of noises or that the denoising has …

Zhang neural network without using time-derivative information for constant and time-varying matrix inversion

Y Zhang, Z Chen, K Chen, B Cai - 2008 IEEE International Joint …, 2008 - ieeexplore.ieee.org
To obtain the inverses of time-varying matrices in real time, a special kind of recurrent neural
networks has recently been proposed by Zhang et al. It is proved that such a Zhang neural …

An exponential-enhanced-type varying-parameter RNN for solving time-varying matrix inversion

Z Zhang, L Zheng, M Wang - Neurocomputing, 2019 - Elsevier
In order to compute time-varying matrix inversion faster, a novel exponential-enhanced-type
varying-parameter recurrent neural network (EVP-RNN) is proposed and investigated in this …