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Improved spherical continuation algorithm with application to the double-bounded homotopy (DBH)
Delia Torres Muñoz
Héctor Vázquez Leal
Luis Hernández Martínez
Librado Arturo Sarmiento Reyes
Acceso Abierto
Atribución-NoComercial-SinDerivadas
Homotopy continuation methods
Multiple operating points
The homotopy continuationmethods are useful tools for finding multiple solutionsof nonlinear problems.Animportant issue of this kind ofmethod is the correct implementationof the path-following techniques used to trace the homotopy trajectory. Therefore, in thiswork we propose a modification of the spherical algorithm to successfully trace the closedpaths of a DBH homotopy. The proposed methodology is depicted with three examples.Finally, a comparison of the results with a standard path-following technique is presentedand discussed.
Computational and Applied Mathematics
21-06-2013
Artículo
Inglés
Estudiantes
Investigadores
Público en general
Torres-Muñoz, D., et al., (2013), Improved spherical continuation algorithm with application to the double-bounded homotopy (DBH), Computational and Applied Mathematics, Vol. 33(1): 147–161
ELECTRÓNICA
Versión aceptada
acceptedVersion - Versión aceptada
Aparece en las colecciones: Artículos de Electrónica

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