Particle swarm algorithm for solving systems of nonlinear equations

Authors:
Majid Jaberipour;Esmaile Khorram;Behrooz Karimi
Affiliations:
Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914 Tehran, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914 Tehran, Iran;Department of Industrial Engineering, Amirkabir University of Technology, No. 424, Hafez Ave., 15914 Tehran, Iran
Venue:
Computers & Mathematics with Applications
Year:
2011

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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.