Share This Article:

A Smoothing Neural Network Algorithm for Absolute Value Equations

HTML XML Download Download as PDF (Size:344KB) PP. 567-576
DOI: 10.4236/eng.2015.79052    2,033 Downloads   2,663 Views Citations


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.

Cite this paper

Wang, F. , Yu, Z. and Gao, C. (2015) A Smoothing Neural Network Algorithm for Absolute Value Equations. Engineering, 7, 567-576. doi: 10.4236/eng.2015.79052.

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.