Asymptotic expansions and acceleration of convergence for higher order iteration processes

DOI10.1007/BF01385794zbMath0733.65001OpenAlexW1988662187MaRDI QIDQ809534

Guido Walz

Publication date: 1991

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133563

zbMATH Keywords

Newton's methodconvergence accelerationnumerical testsextrapolationiterative processasymptotic (error) expansion

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items (1)

Some globally convergent iterative method based on the bisection iteration for solving nonlinear scalar equations

Cites Work

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• Sequences of transformations and triangular recursion schemes, with applications in numerical analysis
• A contour integral representation of linear extrapolation methods
• A general extrapolation algorithm
• Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus
• Über das asymptotische Verhalten von Iterationsfolgen
• Survey of Extrapolation Processes in Numerical Analysis

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