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
✦ LIBER ✦
Superattracting cycles of the relaxed Newton’s method for entire functions
✍ Scribed by Gang Liu
- Book ID
- 116204512
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 168 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
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