This paper presents a new approach to the well-known problem of the choice of suitable initial conditions for Newton's method. A fast global analysis of the initial conditions space, including the rate of convergence, can be carried out without any previous knowledge of the position of the roots of the function.

A QUASI CELL MAPPING APPROACH TO THE GLOBAL DYNAMICAL ANALYSIS OF NEWTONS ROOT-FINDING ALGORITHM

CARNIEL, Roberto
1994-01-01

Abstract

This paper presents a new approach to the well-known problem of the choice of suitable initial conditions for Newton's method. A fast global analysis of the initial conditions space, including the rate of convergence, can be carried out without any previous knowledge of the position of the roots of the function.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/668402
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