Recurrent Neural Network Approach Based on the Integral Representation of the Drazin Inverse

被引：52

作者：

Stanimirovic, Predrag S. ^{[1
]}

Zivkovic, Ivan S. ^{[2
]}

Wei, Yimin ^{[3
,4
]}

机构：

[1] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia

[2] Serbian Acad Arts & Sci, Math Inst, Beograd 11001, Serbia

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[4] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

NEURAL COMPUTATION | 2015年 / 27卷 / 10期

基金：

中国国家自然科学基金;

关键词：

GENERALIZED INVERSE; ZNN MODELS; EQUATIONS; ZFS;

D O I：

10.1162/NECO_a_00771

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：2107 / 2131

页数：25

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