Convergence acceleration as a dynamical system

DOI10.1016/0168-9274(94)00020-4zbMath0808.65002OpenAlexW2023607958MaRDI QIDQ1339333

Arieh Iserles

Publication date: 5 March 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00020-4

zbMATH Keywords

convergence accelerationPadé approximationdynamical systemSteffensen methodShanks transformationAitken transformationHankel or Toeplitz determinants

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Numerical computation of solutions to single equations (65H05)

Cites Work

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• Extrapolation methods theory and practice
• A constructive approach to the Schröder equation
• Invariant sets under iteration of rational functions
• Complex Dynamics of Convergence Acceleration
• Complex analytic dynamics on the Riemann sphere
• On the dynamics of polynomial-like mappings
• On zeros of Hankel determinants with iterated polynomial entries
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
• Derivative-Free Iteration Processes

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