Instability and modification of Thiele interpolating continued fractions

DOI10.1016/0168-9274(83)90005-3zbMath0656.41014OpenAlexW2022665595MaRDI QIDQ1110018

Lisa Jacobson, Brigitte M. Verdonk, Annie A. M. Cuyt

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0168-9274(83)90005-3

zbMATH Keywords

numerical examplesconvergence accelerationepsilon algorithmextrapolation to the limitThiele interpolating continued fraction

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Convergence and divergence of continued fractions (40A15)

Related Items (1)

Adaptive Thiele interpolation

Cites Work

• Unnamed Item
• Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
• Successive modifications of limit periodic continued fractions
• Linear approximations to continued fractions \(K(z_ n/1)\)

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