Stanimirović Predrag S, Živković Ivan S, Wei Yimin
University of Niš, Faculty of Sciences and Mathematics, Višegradska 33, 18000 Niš, Serbia
Mathematical Institute of the Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11001 Beograd, Serbia
Neural Comput. 2015 Oct;27(10):2107-31. doi: 10.1162/NECO_a_00771. Epub 2015 Aug 27.
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.
在这封信中，我们给出了用于计算任意实方阵的Drazin逆的动力学方程和相应的人工递归神经网络，且对其特征值没有任何限制。我们考虑了确保所定义的递归神经网络稳定性及其向Drazin逆收敛的条件。几个示例展示了计算机模拟的结果。
