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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 wikiPageLength "5510".
- Gauss–Legendre_algorithm wikiPageOutDegree "17".
- Gauss–Legendre_algorithm wikiPageRevisionID "637008198".
- Gauss–Legendre_algorithm wikiPageWikiLink Adrien-Marie_Legendre.
- Gauss–Legendre_algorithm wikiPageWikiLink Algorithm.
- Gauss–Legendre_algorithm wikiPageWikiLink Approximations_of_π.
- Gauss–Legendre_algorithm wikiPageWikiLink Arithmetic-geometric_mean.
- Gauss–Legendre_algorithm wikiPageWikiLink Arithmetic_mean.
- Gauss–Legendre_algorithm wikiPageWikiLink Arithmetic–geometric_mean.
- Gauss–Legendre_algorithm wikiPageWikiLink Borweins_algorithm.
- Gauss–Legendre_algorithm wikiPageWikiLink Carl_Friedrich_Gauss.
- Gauss–Legendre_algorithm wikiPageWikiLink Category:Pi_algorithms.
- Gauss–Legendre_algorithm wikiPageWikiLink Elliptic_integral.
- Gauss–Legendre_algorithm wikiPageWikiLink Eugene_Salamin_(mathematician).
- Gauss–Legendre_algorithm wikiPageWikiLink Geometric_mean.
- Gauss–Legendre_algorithm wikiPageWikiLink Machin-like_formula.
- Gauss–Legendre_algorithm wikiPageWikiLink Machin-like_formulas.
- Gauss–Legendre_algorithm wikiPageWikiLink Numerical_approximations_of_π.
- Gauss–Legendre_algorithm wikiPageWikiLink Pi.
- Gauss–Legendre_algorithm wikiPageWikiLink Richard_Brent_(scientist).
- Gauss–Legendre_algorithm wikiPageWikiLink Richard_P._Brent.
- Gauss–Legendre_algorithm wikiPageWikiLink Square_root.
- Gauss–Legendre_algorithm wikiPageWikiLinkText "Gauss–Legendre algorithm".
- Gauss–Legendre_algorithm wikiPageWikiLinkText "Gauss–Legendre iterative algorithm".
- Gauss–Legendre_algorithm hasPhotoCollection Gauss–Legendre_algorithm.
- Gauss–Legendre_algorithm wikiPageUsesTemplate Template:Reflist.
- 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 "Gauss–Legendre algorithm".
- Gauss–Legendre_algorithm sameAs Algoritmo_de_Gauss-Legendre.
- Gauss–Legendre_algorithm sameAs Formule_de_Brent-Salamin.
- Gauss–Legendre_algorithm sameAs xd7x90xd7x9cxd7x92xd7x95xd7xa8xd7x99xd7xaaxd7x9d_xd7x92xd7x90xd7x95xd7xa1-xd7x9cxd7x96xd7xa0xd7x93xd7xa8.
- 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 m.03cwk.
- Gauss–Legendre_algorithm sameAs Gauss-Legendre_Algoritması.
- Gauss–Legendre_algorithm sameAs Q2448949.
- Gauss–Legendre_algorithm sameAs Q2448949.
- Gauss–Legendre_algorithm sameAs 高斯-勒让德算法.
- Gauss–Legendre_algorithm wasDerivedFrom Gauss–Legendre_algorithm?oldid=637008198.
- Gauss–Legendre_algorithm isPrimaryTopicOf Gauss–Legendre_algorithm.