ALTSUM 1.0

Date Added: August 30, 2013 | Visits: 210

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Estimates the sum of an alternating series. Three linear methods for convergence acceleration are implemented.EXAMPLES:% log(2) = 1 - 1/2 + 1/3 - 1/4 + ...altsum(1./(1:20))ans = 0.693147180559945 % pi = 4 - 4/3 + 4/5 - 4/7 + ...altsum(4./(1:2:39))ans = 3.141592653589794 % Euler-Mascheroni constantk = 2:20;altsum(log(k)./k)/log(2) + log(2)/2ans = 0.577215664901533 % Divergent seriesaltsum(1:9,'euler')ans = 0.250000000000000For a review of several acceleration methods seehttp://numbers.computation.free.fr/Constants/Miscellaneous/seriesacceleration.html

Requirements: No special requirements

Platforms: Matlab

Keyword: Altsumlogkklog, Constant, Divergent, Eulermascheroni, Log, Review

Users rating: 0/10

License: Shareware

Size: 10 KB

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