Title: Symmetries of the Julia sets of Newton’s method for multiple root
Abstract: The symmetries of Julia sets of Newton’s method is investigated in this paper. It is shown that the group of symmetries of Julia set of polynomial is a subgroup of that of the corresponding standard, multiple and relax Newton’s method when a nonlinear polynomial is in normal form and the Julia set has finite group of symmetries. A necessary and sufficient condition for Julia sets of standard, multiple and relax Newton’s method to be horizontal line is obtained.
Publication Year: 2010
Publication Date: 2010-07-28
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 13
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