Generalizing the arithmetic geometric mean - a hapless computer experiment

DOI10.1155/S016117128900027XzbMath0707.26005MaRDI QIDQ919468

Jaak Peetre

Publication date: 1989

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46509

zbMATH Keywords

interpolationconvergenceasymptoticsiterative processesarithmetic-geometric meanBorchardt meanelliptic integrals and functionsMeissel mean

Mathematics Subject Classification ID

Topological dynamics (37B99) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18)

Related Items (5)

Some observations on algorithms of the Gauss-Borchardt type ⋮ Outline of a scientific biography of Ernst Meissel (1826-1895) ⋮ On some iterated means arising in homogenization theory. ⋮ Sharp bounds for the arithmetic-geometric mean ⋮ A noncontinuous generalization of the arithmetic-geometric mean.

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