Fractal Basins of Attraction Associated with a Damped Newton's Method
From MaRDI portal
Publication:4389217
DOI10.1137/S0036144596310033zbMath0912.65039arXivchao-dyn/9612010MaRDI QIDQ4389217
Bogdan I. Epureanu, H. S. Greenside
Publication date: 12 May 1998
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/chao-dyn/9612010
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)
Related Items (16)
Adaptive Newton-type schemes based on projections ⋮ Fractal dimension and Wada measure revisited: no straightforward relationships in NDDS ⋮ An acceleration of the continuous Newton's method ⋮ Fractal boundaries of basin of attraction of Newton-Raphson method in helicopter trim ⋮ The ``Gauss-Seidelization of iterative methods for solving nonlinear equations in the complex plane ⋮ Basin Entropy, a Measure of Final State Unpredictability and Its Application to the Chaotic Scattering of Cold Atoms ⋮ Real dynamics for damped Newton's method applied to cubic polynomials ⋮ Dynamics and fractal dimension of Steffensen-type methods ⋮ Numerical properties of different root-finding algorithms obtained for approximating continuous Newton's method ⋮ THE NEWTON–RAPHSON METHOD AND ADAPTIVE ODE SOLVERS ⋮ Wada property in systems with delay ⋮ How to detect Wada basins ⋮ On the final steps of Newton and higher order methods ⋮ An adaptive Newton-method based on a dynamical systems approach ⋮ On the Computation of Nonhyperbolic Fixed Points ⋮ Fully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential Equations
This page was built for publication: Fractal Basins of Attraction Associated with a Damped Newton's Method
