一类新的多参数类牛顿方法

Applied Numerical Analysis & Computational Mathematics Pub Date : 2005-04-12 DOI:10.1002/anac.200410025

M. A. Hernández, N. Romero

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引用次数: 10

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On a new multiparametric family of Newton-like methods

The main subject of this paper is the characterization of a modified family of Newton-type iterative processes of R-order at least three to approximate a solution of a nonlinear equation in Banach spaces. We weaken the usual semilocal convergence conditions, for this type of iterative processes, assuming that the second derivative is ω-conditioned. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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Applied Numerical Analysis & Computational Mathematics

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