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 …

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 …

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 …

The Wiener solution of a multichannel restoration scheme is presented. Using matrix
diagonalization and block-Toeplitz to block-circulant approximation, the inversion of the …

A class of iterative signal restoration algorithms is derived based on a representation
theorem for the generalized inverse of a matrix. These algorithms exhibit a first or higher …

We deduce an analytical formula for inversion of a complex Van der Monde matrix. It has
applications in signal reconstruction, spectral estimation, system identification, as well as in …

The singular value decomposition (SVD) pseudoinversion method has been applied to
image reconstruction from projections. In this paper, two SVD pseudoinversion methods are …

This paper describes techniques to compute matrix inverses by means of algorithms that are
highly suited to massively parallel com+ tation. In contrast, conventional techniques such as …

The notion of the generalized inverse of a square or rectangular matrix was first introduced
by Moore in 1920, and again by Penrose in 1955, who was apparently unaware of Moore's …

The problem of inverting matrices that contain as entries polynomials in several variables is
considered. A method of inversion based on the multidimensional discrete Fourier transform …