On Newton's Method Applied To Real Polynomials
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Open Access Color
HYBRID
Green Open Access
Yes
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Publicly Funded
No
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Abstract
It is known that if we apply Newton's method to the complex function F(z) = P(z)e(Q(z)), with deg(Q) > 2, then the immediate basin of attraction of the roots of P has finite area. In this paper, we show that under certain conditions on the polynomial P, if deg(Q) = 1, then there is at least one immediate basin of attraction having infinite area.
Description
Jarque, Xavier/0000-0002-6576-9780
ORCID
Keywords
Newton'S Method, Basin Of Attraction, Rational Iteration
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Çilingir, F., Jarque, X. (2012). On Newton's method applied to real polynomials. Journal Of Difference Equations And Applications, 18(6), 1067-1076. http://dx.doi.org/10.1080/10236198.2010.547493
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
1
Source
Journal of Difference Equations and Applications
Volume
18
Issue
6
Start Page
1067
End Page
1076
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Scopus : 2
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2
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1
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2
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