On extended convergence domains for the newton-kantorovich method
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Date
2014
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Journal ISSN
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Publisher
Publishing House of the Romanian Academy Calea 13 Septembrie nr. 13, Sector 5, 050711. P.O. Box 5-42, Bucuresti
Abstract
We present results on extended convergence domains and their applications for the Newton-Kantorovich method (NKM), using the same information as in previous papers. Numerical examples are provided to emphasize that our results can be applied to solve nonlinear equations using (NKM), in contrast with earlier results which are not applicable in these cases. © 2014, Publishing House of the Romanian Academy. All rights reserved.
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Keywords
Banach space, Kantorovich theorem for nonlinear equations, Newton-Kantorovich method, Newton’s method
Citation
Mathematica, 2014, 56, 1, pp. 3-13