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Newton and the ‘electrical attraction unexcited’

✍ Scribed by Hawes, Joan L.

Book ID
120430220
Publisher
Taylor and Francis Group
Year
1968
Tongue
English
Weight
692 KB
Volume
24
Category
Article
ISSN
0003-3790

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Attracting cycles for the relaxed Newton
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✍ Sergio Plaza; Natalia Romero 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 491 KB

We study the relaxed Newton's method applied to polynomials. In particular, we give a technique such that for any n ≥ 2, we may construct a polynomial so that when the method is applied to a polynomial, the resulting rational function has an attracting cycle of period n. We show that when we use the