A generalization of the Kantorovich type assumptions for Halley's method
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Universidad de La Rioja
info
ISSN: 0020-7160
Any de publicació: 2007
Volum: 84
Número: 12
Pàgines: 1771-1779
Tipus: Article
Altres publicacions en: International Journal of Computer Mathematics
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Resum
For the Halley method, we generalize the usual Kantorovich type assumptions, from which an iterative process of R-order three is convergent, so that the corresponding convergence analysis can be applied to a larger number of equations. We present an example consisting of a nonlinear integral equation where the method is applied.