Une variante de la méthode de Newton

A variant of the Newton method

Authors

  • Ion Păvăloiu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
Abstract views: 199

Abstract

Let \(X\) be a Banach space, \(Y\) a normed space, \(P:X\rightarrow Y\) a nonlinear operator and the equation \(P\left( x\right) =0\). The first order derivative is approximated by the partial derivative of an operator of two variables, whose diagonal restrictive coincides with \(P\). We give a semilocal convergence result for the considered method.

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Published

1978-02-01

How to Cite

Păvăloiu, I. (1978). Une variante de la méthode de Newton: A variant of the Newton method. Anal. Numér. Théor. Approx., 7(1), 95–99. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1978-vol7-no1-art8

Issue

Vol. 7 No. 1 (1978)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.