SYMPOSIUM MINISYMPOSIA

ABSTRACT

The aim of this paper is to give an extensive review on some recent results about some smoothness conditions for the convergence of Newton's method. The paper is organized as follows:

1. Introduction. Fixed point results;
2. Newton method( scalar setting );
3. Numerical examples;
4. n-dimensional setting;
5. Newton-type methods;

1. V. Berinde, Conditions for the convergence of Newton method, Analele Univ. "Ovidius" Constanta, vol. 3 (1995), 22-28

2. V. Berinde, On some exit criteria for the Newton method, Novi Sad J. Math, vol 27(1997)

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