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Article
Iterations for the Lemniscate Constant Resembling the Archimedean Algorithm for Pi
The American Mathematical Monthly (2016)
  • Thomas J. Osler, Rowan University
Abstract
We give an iterative algorithm that converges to the lemniscate constant L. This algorithm resembles the famous Archimedean algorithm for π. The derivation is based on the recently discovered product of nested radicals for 2/L by Aaron Levin. Levin's product closely resembles Vieta's historic product for 2/π.
Disciplines
Publication Date
January, 2016
DOI
10.4169/amer.math.monthly.123.1.90
Citation Information
Thomas J. Osler. "Iterations for the Lemniscate Constant Resembling the Archimedean Algorithm for Pi" The American Mathematical Monthly Vol. 123 Iss. 1 (2016) p. 90 - 93 ISSN: 0002-9890
Available at: http://works.bepress.com/thomas-osler/1/