Finding Numerical Solutions of Diophantine Equations Using Steepest Ascent Hill Climbing

Abstract

The paper proposes a methodology to find numerical solutions of Diophantine equations using steepest ascent version of Hill Climbing. It represents possible solutions of a Diophantine equation using tree and adopts a novel mechanism to generate successors. The proposed heuristic function makes the process of finding numerical solution a minimization process… (More)

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