Discrete versus continuous Newton's method: A case study
From MaRDI portal
Publication:1118979
DOI10.1007/BF00047502zbMath0669.65037OpenAlexW4248150939MaRDI QIDQ1118979
Publication date: 1988
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00047502
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05)
Related Items
Delay estimation via sliding mode for nonlinear time-delay systems, Global aspects of the continuous and discrete Newton method: A case study, Newton's method and complex dynamical systems, A locally convergent continuous-time algorithm to find all the roots of a time-varying polynomial, An acceleration of the continuous Newton's method, Existence results on Lagrange multiplier approach for gradient flows and application to optimization, Attracting cycles for the relaxed Newton's method, An adjoint-based approach for finding invariant solutions of Navier–Stokes equations, Finding all periodic orbits of maps using Newton methods: Sizes of basins, Continuous Newton's method for polynomials., A global analysis of Newton iterations for determining turning points
Cites Work
- On the iteration of a rational function: Computer experiments with Newton's method
- Cayley's problem and Julia sets
- The continuous, desingularized Newton method for meromorphic functions
- Über die Einzugsbereiche der Nullstellen von Polynomen beim Newton-Verfahren
- Invariant sets under iteration of rational functions
- Complex analytic dynamics on the Riemann sphere
- On the efficiency of algorithms of analysis
- Julia Sets and Mandelbrot-Like Sets Associated With Higher Order Schroder Rational Iteration Functions: A Computer Assisted Study
- Unnamed Item
- Unnamed Item