Newton’s method on the complex exponential function
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Publication:4243613
DOI10.1090/S0002-9947-99-01927-3zbMath0922.58068MaRDI QIDQ4243613
Publication date: 19 May 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Related Items (13)
A class of Newton maps with Julia sets of Lebesgue measure zero ⋮ On Newton's method applied to real polynomials ⋮ Moduli space of cubic Newton maps ⋮ Superattracting cycles of the relaxed Newton's method for entire functions ⋮ On entire function \(e^{p(z)}\int_0^z \beta (t)e^{-p(t)}dt\) with applications to Tumura-Clunie equations and complex dynamics ⋮ Fractal boundaries of basin of attraction of Newton-Raphson method in helicopter trim ⋮ Unnamed Item ⋮ On the connectivity of the Julia sets of meromorphic functions ⋮ Some Connections of Complex Dynamics ⋮ Newton maps of complex exponential functions and parabolic surgery ⋮ Immediate and virtual basins of Newton's method for entire functions. ⋮ A characterization of postcritically minimal Newton maps of complex exponential functions ⋮ Disconnected Julia set of Halley's method for exponential maps
Cites Work
- On the iteration of a rational function: Computer experiments with Newton's method
- Families of rational maps and iterative root-finding algorithms
- Canonical property of the Miura maps between the MKP and KP hierarchies, continuous and discrete
- On the dynamics of rational maps
- Multiple attractors in Newton's method
- Newton’s Algorithm and Chaotic Dynamical Systems
- Unnamed Item
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