In this paper, we prove an a-posteriori and an a-priori convergence theorem for Newton-Kantorovich approximations starting from an initial point $x_0$. We apply these results to operators that are analytic at interior points of a closed ball centered at $x_0$ and of radius $R$. We obtain some theorems on approximate zeros and on approximate zeros of second kind for these operators which improve previous results.

Convergence of Newton-Kantorovich Approximations to an Approximate Zero

CIANCIARUSO, Filomena
2007-01-01

Abstract

In this paper, we prove an a-posteriori and an a-priori convergence theorem for Newton-Kantorovich approximations starting from an initial point $x_0$. We apply these results to operators that are analytic at interior points of a closed ball centered at $x_0$ and of radius $R$. We obtain some theorems on approximate zeros and on approximate zeros of second kind for these operators which improve previous results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/128480
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