Note on generalized Archimedes-Borchardt algorithm

DOI10.1007/s00010-021-00816-8zbMath1485.26059OpenAlexW3168719716MaRDI QIDQ2055268

Witold Jarczyk, Justyna Jarczyk

Publication date: 6 December 2021

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-021-00816-8

zbMATH Keywords

meanconvergence of successive iteratesparametrized meanArchimedean processinvariance of limit mean

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Means (26E60) Iteration of real functions in one variable (26A18)

Cites Work

• A generalization of the Archimedean double sequence
• The arithmetic-geometric mean of Gauss
• Parametrized means and limit properties of their Gaussian iterations
• Invariance of means
• Gaussian iterative algorithm and integrated automorphism equation for random means
• Sull'algoritmo iterativo del Borchardt e su di una sua generalizzazione
• Of Calculations Past and Present: The Archimedean Algorithm
• The Arithmetic-Harmonic Mean
• Algorithms Involving Arithmetic and Geometric Means
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