Particle Swarm Optimization Based Diophantine Equation Solver
Neural and Evolutionary Computing
2010-03-16 v1 Numerical Analysis
Abstract
The paper introduces particle swarm optimization as a viable strategy to find numerical solution of Diophantine equation, for which there exists no general method of finding solutions. The proposed methodology uses a population of integer particles. The candidate solutions in the feasible space are optimized to have better positions through particle best and global best positions. The methodology, which follows fully connected neighborhood topology, can offer many solutions of such equations.
Cite
@article{arxiv.1003.2724,
title = {Particle Swarm Optimization Based Diophantine Equation Solver},
author = {Siby Abraham and Sugata Sanyal and Mukund Sanglikar},
journal= {arXiv preprint arXiv:1003.2724},
year = {2010}
}
Comments
15 Pages, 12 Figures, 5 Tables