Numerical solution of certain exponential and non-linear Diophantine systems of equations by using a discrete particle swarm optimization algorithm

DOI10.1016/j.amc.2013.10.007zbMath1334.65105OpenAlexW2025512118MaRDI QIDQ275842

Rodrigo Correa, Iván Amaya, Oscar Pérez

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.007

zbMATH Keywords

optimizationobjective functionexponential Diophantine equationsparticle swarm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Approximation methods and heuristics in mathematical programming (90C59)

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Cites Work

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• Solving some parametric quadratic Diophantine equation over \(\mathbb Z\) and \(\mathbb F_p\)
• The decision problem for exponential diophantine equations
• A combinatorial particle swarm optimization for solving multi-mode resource-constrained project scheduling problems
• Finding numerical solutions of Diophantine equations using ant colony optimization
• Solving Exponential Diophantine Equations

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