Richard P. Brent, Fredrik Johansson,
"A bound for the error term in the Brent-McMillan algorithm"
, Serie arXiv.org, RISC, Hagenberg, 2013
Original Titel:
A bound for the error term in the Brent-McMillan algorithm
Sprache des Titels:
Englisch
Original Kurzfassung:
The Brent-McMillan algorithm B3 (1980), when implemented with binary splitting, is the fastest known algorithm for high-precision computation of Euler's constant. However, no rigorous error bound for the algorithm has ever been published. We provide such a bound and justify the empirical observations of Brent and McMillan. We also give bounds on the error in the asymptotic expansions of functions related to modified Bessel functions.
Forschungs-