Particle swarm algorithm for solving systems of nonlinear equations

Particle swarm algorithm for solving systems of nonlinear equations

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Article ID: iaor20117188
Volume: 62
Issue: 2
Start Page Number: 566
End Page Number: 576
Publication Date: Jul 2011
Journal: Computers and Mathematics with Applications
Authors: , ,
Keywords: algebra, Particle swarm optimization
Abstract:

Solving systems of nonlinear equations is one of the most difficult problems in all of numerical computation and in a diverse range of engineering applications. Newton’s method for solving systems of nonlinear equations can be highly sensitive to the initial guess of the solution. In this study, a new particle swarm optimization algorithm is proposed to solve systems of nonlinear equations. Some standard systems are presented to demonstrate the efficiency of this method.

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