The use of the sequence \(F_ n (z)= f_ n \circ{} \cdot \cdot \cdot \circ{} f_ 1(z)\) in computing fixed points of continued fractions, products, and series

DOI10.1016/0168-9274(91)90109-DzbMath0751.65014OpenAlexW2036296767MaRDI QIDQ1181549

John Gill

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90109-d

zbMATH Keywords

continued fractionsinfinite productsseriesSchwarz' lemmaattractive fixed points contractions

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Extrapolation to the limit, deferred corrections (65B05) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Convergence and divergence of infinite products (40A20)

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Cites Work

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