dc.creatorDelia Torres Muñoz
dc.creatorHéctor Vázquez Leal
dc.creatorLuis Hernández Martínez
dc.creatorLibrado Arturo Sarmiento Reyes
dc.date2013-06-21
dc.date.accessioned2023-07-25T16:25:21Z
dc.date.available2023-07-25T16:25:21Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2302
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7807481
dc.descriptionThe 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.
dc.formatapplication/pdf
dc.languageeng
dc.publisherComputational and Applied Mathematics
dc.relationcitation: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
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/Inspec/Homotopy continuation methods
dc.subjectinfo:eu-repo/classification/Inspec/Multiple operating points
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/22
dc.subjectinfo:eu-repo/classification/cti/2203
dc.subjectinfo:eu-repo/classification/cti/2203
dc.titleImproved spherical continuation algorithm with application to the double-bounded homotopy (DBH)
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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