Limit periodic iteration

DOI10.1016/0168-9274(83)90008-9zbMath0662.40001OpenAlexW1980344865MaRDI QIDQ1113397

John Gill

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)90008-9

zbMATH Keywords

examples

Mathematics Subject Classification ID

Approximation to limiting values (summation of series, etc.) (40A25) Convergence and divergence of continued fractions (40A15)

Related Items (4)

Complex dynamics of the limit periodic system \(F_ n(z)=F_{n-1}(f_ n(z))\), \(f_ n\to f\) ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ Random iterations of holomorphic maps in complex Banach spaces ⋮ Iteration of Möbius transforms and continued fractions

Cites Work

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• Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
• A note on fixed-point continued fractions and Aitken's \(\Delta ^ 2\)- method
• Analytic continuation of functions difined by means of continued fraction.
• The Use of Attractive Fixed Points in Accelerating the Convergence of Limit-Periodic Continued Fractions
• Converging Factors for Continued Fractions K(a n /1), a n →0

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