Title
Nonlinear gradient neural network for solving system of linear equations.
Abstract
For purpose of solving system of linear equations (SoLE) more efficiently, a fast convergent gradient neural network (FCGNN) model is designed and discussed in this paper. Different from the design of the conventional gradient neural network (CGNN), the design of the FCGNN model is based on a nonlinear activation function, and thus the better convergence speed can be reached. In addition, the convergence upper bound of the FCGNN model is estimated and provided in details. Simulative results validate the superiority of the FCGNN model, as compared to the CGNN model for finding SoLE.
Year
DOI
Venue
2019
10.1016/j.ipl.2018.10.004
Information Processing Letters
Keywords
Field
DocType
Systems of linear equations (SoLE),Fast convergence,Nonlinear activation function,Gradient neural network (GNN),Performance evaluation
Convergence (routing),Discrete mathematics,Applied mathematics,Nonlinear system,System of linear equations,Activation function,Upper and lower bounds,Artificial neural network,Mathematics
Journal
Volume
ISSN
Citations 
142
0020-0190
3
PageRank 
References 
Authors
0.38
19
8
Name
Order
Citations
PageRank
Lin Xiao19415.07
Kenli Li26712.56
Zhiguo Tan371.78
Zhijun Zhang428631.45
Bolin Liao528118.70
Ke Chen658536.13
Long Jin753728.68
Shuai Li8127882.46