NDLI: Solving quadratic programming problems with linear Hopfield networks

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Solving quadratic programming problems with linear Hopfield networks

Content Provider	IEEE Xplore Digital Library
Author	Dudnikov, E.
Copyright Year	2001
Description	Author affiliation: Int. Res. Inst. for Manage. Sci., Moscow, Russia (Dudnikov, E.)
Abstract	We consider a linear Hopfield network for solving quadratic programming problems with equation constraints. The problem is reduced to the solution of ordinary linear differential equations with arbitrary square matrix. Because of some properties of this matrix special methods are required for good convergence of the system. After some comparative studies of neural network models for solving this problem we suggest a modified system with doubling of the number of variables. The new system is very simple in implementation on the linear Hopfield network and demonstrates sufficiently good convergence to the solution.
Sponsorship	Int. Neural Network Soc.
Starting Page	371
Ending Page	375
File Size	297798
Page Count	5
File Format	PDF
ISBN	0780370449
ISSN	10987576
DOI	10.1109/IJCNN.2001.939048
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-07-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Quadratic programming Neurons Hopfield neural networks Differential equations Neural networks Vectors Lagrangian functions Adaptive filters Target tracking Background noise
Content Type	Text
Resource Type	Article

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