In order to deal with nonhyperbolic fixed points of a
given real iteration function g, we construct new iteration functions C which will
be called combined. When a nonhyperbolic fixed point of g becomes a super attractor
fixed point of C, the iteration function C is called flat.
¶ Some flat iteration functions are constructed based on Newton's iteration function.
Several numerical examples illustrating the good properties of flat iteration
functions are presented.
Publié le : 2002-05-14
Classification:
Fixed point,
nonhyperbolic,
super-attracting fixed point,
iteration function,
order of convergence,
47H99,
65H05,
32S05,
58K05
@article{1057864658,
author = {Gra\c ca, M\'ario M.},
title = {On the Computation of Nonhyperbolic Fixed Points},
journal = {Experiment. Math.},
volume = {11},
number = {3},
year = {2002},
pages = { 477-485},
language = {en},
url = {http://dml.mathdoc.fr/item/1057864658}
}
Graça, Mário M. On the Computation of Nonhyperbolic Fixed Points. Experiment. Math., Tome 11 (2002) no. 3, pp. 477-485. http://gdmltest.u-ga.fr/item/1057864658/