A Smoothing Neural Network Algorithm for Absolute Value Equations - Engineering

ENG > Vol.7 No.9, September 2015

Engineering

Volume 7, Issue 9 (September 2015)

ISSN Print: 1947-3931 ISSN Online: 1947-394X

Google-based Impact Factor: 0.66 Citations

A Smoothing Neural Network Algorithm for Absolute Value Equations ()

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DOI: 10.4236/eng.2015.79052 2,536 Downloads 3,626 Views Citations

Author(s)

Feiran Wang, Zhensheng Yu, Chang Gao

Affiliation(s)

College of Science, University of Shanghai for Science and Technology, Shanghai.

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.

KEYWORDS

Absolute Value Equations, Neural Network, Smoothing Function, Linear Complementarity Problem

Share and Cite:

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.

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