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.File in questo prodotto:
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