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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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131. Improved Spherical Continuation Algorithm With Application To The Double-Bounded Homotopy (Dbh).pdf | 853.8 kB | Adobe PDF | Visualizar/Abrir |