title: Recurrent Neural Network Approach Based on the Integral Representation of the Drazin Inverse.
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.
authors: University of Niš, Faculty of Sciences and Mathematics, Višegradska 33, 18000 Niš, Serbia pecko@pmf.ni.ac.rs.
authors: Predrag S
authors: PS
authors: Stanimirović
authors: Mathematical Institute of the Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11001 Beograd, Serbia zivkovic.ivan83@gmail.com.
authors: Ivan S
authors: IS
authors: Živković
authors: School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, China ymwei@fudan.edu.cn.
authors: Yimin
authors: Y
authors: Wei
mesh_terms: D003198:Computer Simulation / Q000639:trends; D006801:Humans; D016571:Neural Networks, Computer