Neural network approach to computing matrix inversion
L Fa-Long, B Zheng - Applied Mathematics and Computation, 1992 - Elsevier
A neural network for matrix inversion is proposed. We show both analytically and by
simulations that this network is guaranteed to be stable and to provide results arbitrarily …
simulations that this network is guaranteed to be stable and to provide results arbitrarily …
An optimization network for matrix inversion
Inverse matrix calculation can be considered as an optimization. We have demonstrated that
this problem can be rapidly solved by highly interconnected simple neuron-like analog …
this problem can be rapidly solved by highly interconnected simple neuron-like analog …
A recurrent neural network for real-time matrix inversion
J Wang - Applied Mathematics and Computation, 1993 - Elsevier
A recurrent neural network for computing inverse matrices in real-time is proposed. The
proposed recurrent neural network consists of n independent subnetworks where n is the …
proposed recurrent neural network consists of n independent subnetworks where n is the …
Regularized image reconstruction using SVD and a neural network method for matrix inversion
RJ Steriti, MA Fiddy - IEEE Transactions on Signal Processing, 1993 - ieeexplore.ieee.org
Two methods of matrix inversion are compared for use in an image reconstruction algorithm.
The first is based on energy minimization using a Hopfield neural network. This is compared …
The first is based on energy minimization using a Hopfield neural network. This is compared …
Recurrent neural networks for computing pseudoinverses of rank-deficient matrices
J Wang - SIAM Journal on Scientific Computing, 1997 - SIAM
Three recurrent neural networks are presented for computing the pseudoinverses of rank-
deficient matrices. The first recurrent neural network has the dynamical equation similar to …
deficient matrices. The first recurrent neural network has the dynamical equation similar to …
From Zhang neural network to Newton iteration for matrix inversion
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 …
(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 …
has recently been proposed by Zhang et al for online matrix inversion. Such a neural …
Complex recurrent neural network for computing the inverse and pseudo-inverse of the complex matrix
J Song, Y Yam - Applied mathematics and computation, 1998 - Elsevier
A complex recurrent neural network (CRNN) is formulated and applied to compute the
complex matrix inverse in real time. Both full rank and rand deficient matrices are …
complex matrix inverse in real time. Both full rank and rand deficient matrices are …
MATLAB simulation of gradient-based neural network for online matrix inversion
This paper investigates the simulation of a gradient-based recurrent neural network for
online solution of the matrix-inverse problem. Several important techniques are employed as …
online solution of the matrix-inverse problem. Several important techniques are employed as …
Several approaches to fixed-point implementation of matrix inversion
P Salmela, A Happonen, A Burian… - … Symposium on Signals …, 2005 - ieeexplore.ieee.org
Matrix inversion is a general problem in a wide variety of applications. The problem
becomes even more challenging when an efficient hardware implementation is required. In …
becomes even more challenging when an efficient hardware implementation is required. In …