On the Mean Iteration (a, b) ← � � a+3b 4 , √ab+b 2 � �

DOI10.2307/2008364zbMath0675.30023OpenAlexW1964023567MaRDI QIDQ3829784

Jonathan M. Borwein, Peter B. Borwein

Publication date: 1989

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2008364

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Elliptic functions and integrals (33E05)

Related Items (5)

Quadratic iterations to ${\pi }$ associated with elliptic functions to the cubic and septic base ⋮ Some observations on algorithms of the Gauss-Borchardt type ⋮ Carlson's iterative mean algorithm of positive definite matrices ⋮ Hypergeometric analogues of the arithmetic-geometric mean iteration ⋮ Quadratically converging rational mean iterations

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