Un algoritmo convergente para localizar todas las raíces de una función Lipschitz-continua
DOI:
https://doi.org/10.22199/S07160917.1984.0007.00004Abstract
Se modifica un método de SUKHAREV [5] y se propone un nuevo alforitmo Block-secuencial para localizar todas las raíces de una función Lipschitz-continua. Se demuestra la convergencia de esta estrategia y se dan algunos ejemplos numéricos.References
[1] Basso, P. "Iterative methods for the localization of a global maximum". SIAM J. Numer. Anal. 19 (1982) 4, pp. 781-792.
[2] Basso, P. "Méthodes de localisation du maximum global et des zeros d'une fonction sur un intervalle de la droite numerique". These, Université Scientifique et Médicale de Grenoble, Francia (1978).
[3] Chernousko, F.L. "An optirnal algoritlun for finding the roots of an approximately computed function" U.S.S.R. Comput. Maths. Phys. 8 (1968) 4; pp. 1-23.
[4] Micchelli,C.A. and Miranker,W.L., "High order search methods for finding roots" J. Of Assoc. Comp. Mach. 22 (1975) 1; pp. 51-60.
[5] Sukharev, A.G. "Optimal search for the roots of a function satisfying a Lipschitz condition" U.S.S.R. Comput. Maths. Math. Phys.16 (1976) 1; pp. 17-26.
[2] Basso, P. "Méthodes de localisation du maximum global et des zeros d'une fonction sur un intervalle de la droite numerique". These, Université Scientifique et Médicale de Grenoble, Francia (1978).
[3] Chernousko, F.L. "An optirnal algoritlun for finding the roots of an approximately computed function" U.S.S.R. Comput. Maths. Phys. 8 (1968) 4; pp. 1-23.
[4] Micchelli,C.A. and Miranker,W.L., "High order search methods for finding roots" J. Of Assoc. Comp. Mach. 22 (1975) 1; pp. 51-60.
[5] Sukharev, A.G. "Optimal search for the roots of a function satisfying a Lipschitz condition" U.S.S.R. Comput. Maths. Math. Phys.16 (1976) 1; pp. 17-26.
Published
2018-03-27
How to Cite
[1]
G. N. Gatica Pérez, “Un algoritmo convergente para localizar todas las raíces de una función Lipschitz-continua”, Proyecciones (Antofagasta, On line), vol. 3, no. 7, pp. 69-96, Mar. 2018.
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