Nov 15, 2010 · 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.
Nov 15, 2010 · 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 ...
Symmetries of the Julia sets of Newton's method for multiple root
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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 ...
In this paper, we analyze the Julia set of Newton method for multiple roots, construct the Julia sets of standard, relaxed and multiple roots.
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2010: Symmetries of the Julia sets of Newton's method for multiple root Applied Mathematics and Computation 217(6): 2490-2494 · Liu, G.; Gao, J. 2015 ...
Feb 11, 2024 · In this article, a survey of the symmetries of polynomial Julia sets is made. Then the Euclidean isometries preserving the Julia set of rational maps are ...
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We give a survey of the complex dynamics of various generalizations of Newton's method for finding a complex root of a polynomial of a single variable.
We analyze the behavior of the roots of some complex exponential equation, and prove the Julia Set's symmetry, boundedness and embedding topology distribution ...
In this paper, we analyze the Julia set of Newton method for multiple roots, construct the Julia sets of standard, relaxed and multiple roots.
Newton's method involves choosing an initial guess x0, and then, through an iterative process, finding a sequence of numbers x0, x1, x2, x3, ··· 1 that converge.