title: Testing Nelder-Mead based repulsion algorithms for multiple roots of nonlinear systems via a two-level factorial design of experiments.
abstract: This paper addresses the challenging task of computing multiple roots of a system of nonlinear equations. A repulsion algorithm that invokes the Nelder-Mead (N-M) local search method and uses a penalty-type merit function based on the error function, known as 'erf', is presented. In the N-M algorithm context, different strategies are proposed to enhance the quality of the solutions and improve the overall efficiency. The main goal of this paper is to use a two-level factorial design of experiments to analyze the statistical significance of the observed differences in selected performance criteria produced when testing different strategies in the N-M based repulsion algorithm. The main goal of this paper is to use a two-level factorial design of experiments to analyze the statistical significance of the observed differences in selected performance criteria produced when testing different strategies in the N-M based repulsion algorithm.
authors: Department of Mathematics, School of Engineering, Polytechnic of Porto, 4200-072 Porto, Portugal.
authors: Gisela C V
authors: GC
authors: Ramadas
authors: ALGORITMI Research Centre, University of Minho, Campus de Gualtar 4710-057 Braga, Portugal.
authors: Ana Maria A C
authors: AM
authors: Rocha
authors: ALGORITMI Research Centre, University of Minho, Campus de Gualtar 4710-057 Braga, Portugal.
authors: Edite M G P
authors: EM
authors: Fernandes
mesh_terms: D000465:Algorithms; D000704:Analysis of Variance; D003205:Computing Methodologies; D006801:Humans; D006838:Hydrocarbons / Q000737:chemistry; D008956:Models, Chemical; D009424:Nervous System Physiological Phenomena; D017711:Nonlinear Dynamics; D016011:Normal Distribution; D011336:Probability
chemical_list: D006838:Hydrocarbons