An efficient algorithm for the Hurwitz zeta and related functions
β Scribed by Mark W. Coffey
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 568 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
A simple class of algorithms for the efficient computation of the Hurwitz zeta and related special functions is given. The algorithms also provide a means of computing fundamental mathematical constants to arbitrary precision. A number of extensions as well as numerical examples are briefly described. The algorithms are easy to implement and compete with Euler-Maclaurin summation-based methods.
π SIMILAR VOLUMES
An efficient algorithm was developed for finding the minimum or maximum of a one-dimensional (I-D) user-defined function. The algorithm combined the quadratic interpolation, the Golden search, and an additional side search into a unified optimal search. Five I-D, four 2-D, and two 4-D functions were