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- Gauss%E2%80%93Legendre_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%E2%80%93Legendre_algorithm wikiPageID "12916".
- Gauss%E2%80%93Legendre_algorithm wikiPageRevisionID "637008198".
- Gauss%E2%80%93Legendre_algorithm hasPhotoCollection Gauss–Legendre_algorithm.
- Gauss%E2%80%93Legendre_algorithm subject Category:Pi_algorithms.
- Gauss%E2%80%93Legendre_algorithm type Abstraction100002137.
- Gauss%E2%80%93Legendre_algorithm type Act100030358.
- Gauss%E2%80%93Legendre_algorithm type Activity100407535.
- Gauss%E2%80%93Legendre_algorithm type Algorithm105847438.
- Gauss%E2%80%93Legendre_algorithm type Event100029378.
- Gauss%E2%80%93Legendre_algorithm type PiAlgorithms.
- Gauss%E2%80%93Legendre_algorithm type Procedure101023820.
- Gauss%E2%80%93Legendre_algorithm type PsychologicalFeature100023100.
- Gauss%E2%80%93Legendre_algorithm type Rule105846932.
- Gauss%E2%80%93Legendre_algorithm type YagoPermanentlyLocatedEntity.
- Gauss%E2%80%93Legendre_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%E2%80%93Legendre_algorithm label "Algoritme van Gauss-Legendre".
- Gauss%E2%80%93Legendre_algorithm label "Algoritmo de Gauss-Legendre".
- Gauss%E2%80%93Legendre_algorithm label "Algoritmo de Gauss-Legendre".
- Gauss%E2%80%93Legendre_algorithm label "Algoritmo di Gauss-Legendre".
- Gauss%E2%80%93Legendre_algorithm label "Formule de Brent-Salamin".
- Gauss%E2%80%93Legendre_algorithm label "Gauss-Legendre Algoritması".
- Gauss%E2%80%93Legendre_algorithm label "Gauss–Legendre algorithm".
- Gauss%E2%80%93Legendre_algorithm label "ガウス＝ルジャンドルのアルゴリズム".
- Gauss%E2%80%93Legendre_algorithm sameAs m.03cwk.
- Gauss%E2%80%93Legendre_algorithm sameAs Gauss–Legendre_algorithm.
- Gauss%E2%80%93Legendre_algorithm wasDerivedFrom Gauss–Legendre_algorithm?oldid=637008198.
- Gauss%E2%80%93Legendre_algorithm isPrimaryTopicOf Gauss–Legendre_algorithm.