Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators

Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators

This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations. Without imposing any type of Fréchet differentiability...

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Bibliographic Details
Main Authors: Sergio Amat, Sonia Busquier, Concepción Bermúdez, Ángel Alberto Magreñán
Format: Article
Language:English
Published: MDPI AG 2015-08-01
Series:Algorithms
Subjects:
Newton type methods
third order
semilocal convergence
centered hypotheses
divided differences
Online Access:http://www.mdpi.com/1999-4893/8/3/669

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