Abstract

REYES-SIERRA, Sergio; PLATA-RUEDA, Julián  and  CORREA-CELY, Rodrigo. Real and/or Complex Roots Calculation of Nonlinear Equations Systems through Modified Particle Swarm Optimization. Ing. Univ. [online]. 2012, vol.16, n.2, pp.349-362. ISSN 0123-2126.

In this article we describe a numerical alternative to sovlve systems of nonlinear equations with real and/or complex roots. The problem of solving directly such systems was transformed into an optimization one, which was solved using a specially modified particle swarm method. As an example, system of two, five and ten equations were solved using a conventional personal computer as well as a cluster of four nodes. It was concluded that this strategy is valid for solving this type of systems of equations. Moreover, using the cluster no computational time improvement was detected.

Keywords : Particle swarm optimization; nonlinear system of equations; metaheuristic; cluster.

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