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|Title:||Testing Nelder-Mead based repulsion algorithms for multiple roots of nonlinear systems via a two-level factorial design of experiments|
|Author(s):||Ramadas, Gisela C. V.|
Rocha, Ana Maria A. C.
Fernandes, Edite Manuela da G. P.
|Publisher:||Public Library of Science (PLOS)|
|Citation:||Ramadas, G. C. V., Rocha, A. M. A. C., & Fernandes, E. M. G. P. (2015). Testing Nelder-Mead Based Repulsion Algorithms for Multiple Roots of Nonlinear Systems via a Two-Level Factorial Design of Experiments. PLoS ONE, 10(4). doi: 10.1371/journal.pone.0121844|
|Abstract(s):||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.|
|Appears in Collections:||CAlg - Artigos em revistas internacionais/Papers in international journals|
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