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- Title
JULIA SET OF THE NEWTON METHOD FOR SOLVING SOME COMPLEX EXPONENTIAL EQUATION.
- Authors
XINGYUAN WANG; WENJING SONG; LIXIAN ZOU
- Abstract
We extend Kim's complex exponential function and come up with a theory about Julia sets of Newton method for general exponential equation. We analyze the behavior of the roots of some complex exponential equation, and prove the Julia Set's symmetry, boundedness and embedding topology distribution structure of attraction regions in theory.
- Subjects
DISTRIBUTION (Probability theory); TRANSCENDENTAL functions; LOGARITHMIC functions; EXPONENTIAL functions; NEWTON-Raphson method
- Publication
International Journal of Image & Graphics, 2009, Vol 9, Issue 2, p153
- ISSN
0219-4678
- Publication type
Article
- DOI
10.1142/S0219467809003381