Yong, L.Q., Liu, S.Y. and Tuo, S.H. (2014) Transformation of the Linear Complementarity Problem and the Absolute Value Equation. Journal of Jilin University (Science Edition), 4, 638-686

has been cited by the following article:

• 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.