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Newton's method on the complex exponential function
Author(s):
Mako
E.
Haruta
Journal:
Trans. Amer. Math. Soc.
351
(1999),
2499-2513.
MSC (1991):
Primary 58F23
Posted:
February 15, 1999
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Abstract:
We show that when Newton's method is applied to the product of a polynomial and the exponential function in the complex plane, the basins of attraction of roots have finite area.
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Additional Information:
Mako
E.
Haruta
Affiliation:
Department of Mathematics, University of Hartford, West Hartford, Connecticut 06117
Email:
mharuta@hartford.edu
DOI:
10.1090/S0002-9947-99-01927-3
PII:
S 0002-9947(99)01927-3
Keywords:
Newton's method,
basin of attraction
Received by editor(s):
February 27, 1995
Received by editor(s) in revised form:
September 22, 1996
Posted:
February 15, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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