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Eugene Salamin (mathematician)

From Wikipedia, the free encyclopedia

Eugene Salamin is a mathematician who discovered (independently with Richard Brent) the Salamin–Brent algorithm, used in high-precision calculation of pi.[1][2]

Eugene Salamin worked on alternatives to increase accuracy and minimize computational processes through the use of quaternions. Benefits may include:

  1. the design of spatio-temporal databases;
  2. numerical mathematical methods that traditionally prove unsuccessful due to buildup of computational error;
  3. therefore, may be applied to applications involving genetic algorithms and evolutionary computation, in general.

Publications

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Eugene Salamin (1976). "Computation of $\pi$ Using Arithmetic-Geometric Mean". Mathematics of Computation. 30 (135): 565–570. JSTOR 2005327.

See also

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References

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  1. ^ Carey Bloodworth (August 11, 1996). "pi-ref.doc". Archived from the original on November 23, 2010. Retrieved September 10, 2010.
  2. ^ Gourdon, Xavier; Sebah, Pascal (August 13, 2010). "π and its computation through the ages". {{cite journal}}: Cite journal requires |journal= (help)