Remarks to a definition of convergence acceleration illustrated by means of continued fractions \(K(a_ n/1)\) where \(a_ n\to 0\)

DOI10.1016/0377-0427(88)90391-3zbMath0632.65001OpenAlexW2019663448MaRDI QIDQ1095560

Lisa Jacobson

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90391-3

zbMATH Keywords

numerical examplescontinued fractionacceleration of convergenceAitken's delta square processsquare-root modification

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05)

Related Items (3)

Convergence acceleration of number-machine sequences ⋮ Contraction properties of sequence transformations ⋮ \(G\)-continued fractions and convergence acceleration in the solution of third-order linear recurrence relations of Poincaré-type

Cites Work

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• Truncation error bounds for limit-periodic continued fractions \(K(a_ n/1)\) with \(\lim a_ n=0\)
• Acceleration of extended Fibonacci sequences
• Successive modifications of limit periodic continued fractions
• Convergence questions for limit periodic continued fractions
• Accélération de la convergence en analyse numérique
• Convergence of Continued Fractions

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