Newton’s method on the complex exponential function
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- by Mako E. Haruta PDF
- Trans. Amer. Math. Soc. 351 (1999), 2499-2513 Request permission
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.References
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Additional Information
- Mako E. Haruta
- Affiliation: Department of Mathematics, University of Hartford, West Hartford, Connecticut 06117
- Email: mharuta@hartford.edu
- Received by editor(s): February 27, 1995
- Received by editor(s) in revised form: September 22, 1996
- Published electronically: February 15, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 2499-2513
- MSC (1991): Primary 58F23
- DOI: https://doi.org/10.1090/S0002-9947-99-01927-3
- MathSciNet review: 1422898