Real roots of nonlinear systems of equations through a metaheuristic algorithm

This article describes the use of a numeric strategy to perform a metaheuristic optimization for finding the real roots of a nonlinear equation system. A theorem that shows why it can be treated as an optimization problem is shown. Some two-, three-, and fiveequationsystems are used as examples of t...

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Autores:
Amaya, Iván
Cruz, Jorge
Correa, Rodrigo
Tipo de recurso:
Article of journal
Fecha de publicación:
2011
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/40446
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/40446
http://bdigital.unal.edu.co/30543/
Palabra clave:
nonlinear equations
optimization methods
particle swarm optimization
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:This article describes the use of a numeric strategy to perform a metaheuristic optimization for finding the real roots of a nonlinear equation system. A theorem that shows why it can be treated as an optimization problem is shown. Some two-, three-, and fiveequationsystems are used as examples of the strategy.