Iterations for the Lemniscate Constant Resembling the Archimedean Algorithm for PiThe American Mathematical Monthly (2016)
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.
Publication DateJanuary, 2016
Citation InformationThomas 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/