TITLE:
A Smoothing Neural Network Algorithm for Absolute Value Equations
AUTHORS:
Feiran Wang, Zhensheng Yu, Chang Gao
KEYWORDS:
Absolute Value Equations, Neural Network, Smoothing Function, Linear Complementarity Problem
JOURNAL NAME:
Engineering,
Vol.7 No.9,
September
21,
2015
ABSTRACT: In this paper, we give a smoothing neural network algorithm for absolute value equations (AVE). By using smoothing function, we reformulate the AVE as a differentiable unconstrained optimization and we establish a steep descent method to solve it. We prove the stability and the equilibrium state of the neural network to be a solution of the AVE. The numerical tests show the efficient of the proposed algorithm.