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Neural Computation

October 2015, Vol. 27, No. 10, Pages 2107-2131
(doi: 10.1162/NECO_a_00771)
© 2015 Massachusetts Institute of Technology
Recurrent Neural Network Approach Based on the Integral Representation of the Drazin Inverse
Article PDF (476.24 KB)
Abstract

In this letter, we present the dynamical equation and corresponding artificial recurrent neural network for computing the Drazin inverse for arbitrary square real matrix, without any restriction on its eigenvalues. Conditions that ensure the stability of the defined recurrent neural network as well as its convergence toward the Drazin inverse are considered. Several illustrative examples present the results of computer simulations.