The Newton?Kantorovich method under mild differentiability conditions and the Pt�k error estimates-Reference-Cited by-同舟云学术

The Newton?Kantorovich method under mild differentiability conditions and the Pt�k error estimates

Published:1990-09 Issue:3 Volume:109 Page:175-193
ISSN:0026-9255
Container-title:Monatshefte f�r Mathematik
language:en
Short-container-title:Monatshefte f�r Mathematik

Author:

Argyros Ioannis K.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01297759.pdf

Reference12 articles.

1. Argyros, I. K.: The secant method and fixed points of nonlinear operators. Mh. Math.106, 85?94 (1988).

2. Balasz, M., Goldner, G.: On the method of the cord and on a modification of it for the solution of nonlinear operator equations. Stud. Cerc. Mat.20, 981?990 (1968).

3. Gragg, W. B., Tapia, R. A.: Optimal error bounds for the Newton-Kantorovich Theorem. SIAM J. Numer. Anal.11, 10?13 (1974).

4. Keller, H. B.: Newton's method under mild differentiability conditions. Unpubl. ms. 1965.

5. Potra, F. A., Pt�k, V.: Sharp error bounds for Newton's process. Numer. Math.34, 63?72 (1980).

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