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- Gauss–Legendre_algorithm abstract "The Gauss–Legendre algorithm is an algorithm to compute the digits of π. It is notable for being rapidly convergent, with only 25 iterations producing 45 million correct digits of π. However, the drawback is that it is memory intensive and it is therefore sometimes not used over Machin-like formulas.The method is based on the individual work of Carl Friedrich Gauss (1777–1855) and Adrien-Marie Legendre (1752–1833) combined with modern algorithms for multiplication and square roots. It repeatedly replaces two numbers by their arithmetic and geometric mean, in order to approximate their arithmetic-geometric mean.The version presented below is also known as the Gauss–Euler, Brent–Salamin (or Salamin–Brent) algorithm; it was independently discovered in 1975 by Richard Brent and Eugene Salamin. It was used to compute the first 206,158,430,000 decimal digits of π on September 18 to 20, 1999, and the results were checked with Borwein's algorithm.".
- Gauss–Legendre_algorithm wikiPageID "12916".
- Gauss–Legendre_algorithm wikiPageRevisionID "606225600".
- Gauss–Legendre_algorithm subject Category:Pi_algorithms.
- Gauss–Legendre_algorithm comment "The Gauss–Legendre algorithm is an algorithm to compute the digits of π. It is notable for being rapidly convergent, with only 25 iterations producing 45 million correct digits of π. However, the drawback is that it is memory intensive and it is therefore sometimes not used over Machin-like formulas.The method is based on the individual work of Carl Friedrich Gauss (1777–1855) and Adrien-Marie Legendre (1752–1833) combined with modern algorithms for multiplication and square roots.".
- Gauss–Legendre_algorithm label "Algoritme van Gauss-Legendre".
- Gauss–Legendre_algorithm label "Algoritmo de Gauss-Legendre".
- Gauss–Legendre_algorithm label "Algoritmo de Gauss-Legendre".
- Gauss–Legendre_algorithm label "Algoritmo di Gauss-Legendre".
- Gauss–Legendre_algorithm label "Formule de Brent-Salamin".
- Gauss–Legendre_algorithm label "Gauss–Legendre algorithm".
- Gauss–Legendre_algorithm label "ガウス＝ルジャンドルのアルゴリズム".
- Gauss–Legendre_algorithm label "高斯-勒让德算法".
- Gauss–Legendre_algorithm sameAs Gauss%E2%80%93Legendre_algorithm.
- Gauss–Legendre_algorithm sameAs Algoritmo_de_Gauss-Legendre.
- Gauss–Legendre_algorithm sameAs Formule_de_Brent-Salamin.
- Gauss–Legendre_algorithm sameAs Algoritmo_di_Gauss-Legendre.
- Gauss–Legendre_algorithm sameAs ガウス＝ルジャンドルのアルゴリズム.
- Gauss–Legendre_algorithm sameAs Algoritme_van_Gauss-Legendre.
- Gauss–Legendre_algorithm sameAs Algoritmo_de_Gauss-Legendre.
- Gauss–Legendre_algorithm sameAs Q2448949.
- Gauss–Legendre_algorithm sameAs Q2448949.
- Gauss–Legendre_algorithm wasDerivedFrom Gauss–Legendre_algorithm?oldid=606225600.