ANZIAM J. 48, pp. 211-223.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: Conditions are given for a Ck map T to be a Newton map, that is, the map associated with a differentiable realvalued function via Newton’s method. For finitely differentiable maps and functions, these conditions are only necessary, but in the smooth case, that is, for k= ∞, they are also sufficient. The characterisation rests upon the structure of the fixed point set of T and the value of the derivative T' there, and it is best possible as is demonstrated through examples.
Bibtex:
@article {,
AUTHOR = {Berger, Arno and Hill, Theodore P.},
TITLE = {A characterisation of Newton maps},
JOURNAL = {ANZIAM J. },
YEAR = {2006},
VOLUME = {8},
NUMBER = {},
PAGES = {211--223},
DOI = {},
URL = {http://www.austms.org.au/Publ/Jamsb/V48P2/2457.html},
}
Reference Type: Journal Article
Subject Area(s): Analysis, Dynamical Systems