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Article #17

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#17

From: CARNIEL
Date: Fri, 14 Aug 1992 09:44

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Hello! I'm Roberto again.
I'm interested in the determination of basins of attraction, in
particular connected to Newton's method.
I'd like to find some optimized implementation of Hsu's Simple and
Generalized Cell Mapping and description and/or software for other methods.

About Newton's method and Julia sets, I have some questions for you:

Do you know of some function for which the ORIGINAL
(not relaxed!) Newton's method exhibits a strange attractor?

Do you know if an indifferent periodic point can be assigned to the Julia
set or to the Fatou set by only looking at its eigenvalue?

Do you know of any systematic or case study of the application of Newton's
method to polynomials of degree greater than 3 or to systems of equations?

Thanking you again for your attention ...
                                                           Roberto Carniel

my e-mail address is:
carniel@udst02.cineca.it

my address is:
Dr. Roberto Carniel
Dipartimento di Georisorse e Territorio
Via Cotonificio, 114
33100 Udine (Italy)

my fax number is:
+ 39 / 432 / 558700

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Path: arc1-ca.pugleaf.net!sparky!uunet!cis.ohio-state.edu!ucbvax!UDST02.CINECA.IT!CARNIEL
From: CARNIEL@UDST02.CINECA.IT
Newsgroups: comp.theory.dynamic-sys
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Message-ID: <9208140928.AA21985@nettlerash.berkeley.edu>
Date: 14 Aug 92 09:44:00 GMT
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