Particle swarm optimisation based Diophantine equation solver
Siby Abraham, Sugata Sanyal, Mukund Sanglikar · International Journal of Bio-Inspired Computation · 2010
The paper introduces particle swarm optimisation 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 optimised to have better positions through particle best and global best positions. The methodology, which follows fully connected neighbourhood topology, can offer many solutions of such equations.