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Global convergence of the hopfield neural network with non-zero diagonal elements
- Source :
- IEEE transactions on circuits and systems. II. 42(1):39-45
- Publication Year :
- 1995
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 1995.
-
Abstract
- In this paper we derive stability conditions of local minima and their convergence regions of the Hopfield neural network when the diagonal elements of the coefficient matrix are all nonzero. Then for the traveling salesman problem (TSP) we clarify the ranges of the weight values in the energy function and the range of values of the diagonal elements, so that the feasible solutions become stable and infeasible solutions become unstable. Simulations of the TSP show that the above criteria are valid and, by gradually decreasing diagonal elements, quality of solutions is drastically improved, compared with that of zero diagonal elements. >
- Subjects :
- Tridiagonal matrix
Computer Science::Neural and Evolutionary Computation
Diagonal
Function (mathematics)
Combinatorics
Maxima and minima
Pentadiagonal matrix
Signal Processing
Diagonal matrix
Convergence (routing)
Applied mathematics
Electrical and Electronic Engineering
Coefficient matrix
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 10577130
- Volume :
- 42
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- IEEE transactions on circuits and systems. II
- Accession number :
- edsair.doi.dedup.....39bf45b12fa7680c2212dfece1188916