Newton's method on

the complex exponential function

Author:
Mako E. Haruta

Journal:
Trans. Amer. Math. Soc. **351** (1999), 2499-2513

MSC (1991):
Primary 58F23

DOI:
https://doi.org/10.1090/S0002-9947-99-01927-3

Published electronically:
February 15, 1999

MathSciNet review:
1422898

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9947-99-01927-3

Keywords:
Newton's method,
basin of attraction

Received by editor(s):
February 27, 1995

Received by editor(s) in revised form:
September 22, 1996

Published electronically:
February 15, 1999

Article copyright:
© Copyright 1999
American Mathematical Society