Eugene Salamin (mathematician)
{{short description|American mathematician}}
{{More citations needed|date=December 2008}}
Eugene Salamin is a mathematician who discovered (independently with Richard Brent) the Salamin–Brent algorithm, used in high-precision calculation of pi.{{cite web |url=http://www.boo.net/~jasonp/pi-ref.txt |title=pi-ref.doc |author=Carey Bloodworth |date=August 11, 1996 |access-date=September 10, 2010 |url-status=dead |archive-url=https://web.archive.org/web/20101123193635/http://www.boo.net/~jasonp/pi-ref.txt |archive-date=November 23, 2010 }}{{cite journal |title=π and its computation through the ages |last1=Gourdon |first1=Xavier |last2=Sebah |first2=Pascal |journal=Mathematics of Computation|url=http://numbers.computation.free.fr/Constants/Pi/piCompute.html#Salamin |date=August 13, 2010}}
Eugene Salamin worked on alternatives to increase accuracy and minimize computational processes through the use of quaternions.
Benefits may include:
- the design of spatio-temporal databases;
- numerical mathematical methods that traditionally prove unsuccessful due to buildup of computational error;
- therefore, may be applied to applications involving genetic algorithms and evolutionary computation, in general.
Publications
{{cite journal |title=Computation of $\pi$ Using Arithmetic-Geometric Mean |author=Eugene Salamin |journal=Mathematics of Computation |year=1976 |volume=30 |issue=135 |pages=565–570 |jstor=2005327}}