Particle Swarm Optimization Based Diophantine Equation Solver

Details Particle Swarm Optimization Based Diophantine Equation Solver Particle Swarm Optimization Based Diophantine Equation Solver

2010-03-13

arxiv.org/abs/1003.2724v1

Computer Science

Neural and Evolutionary Computing

15 Pages, 12 Figures, 5 Tables

Scientific paper

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.

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