Fast Algorithms for Elementary Functions

225. R. P. Brent, Fast algorithms for high-precision computation of elementary functions (invited talk), Seventh Conference on Real Numbers and Computers ( RNC7), Nancy, France, 10-12 July 2006, 7-8 (extended abstract).

Extended abstract: pdf (128K),

Overhead transparencies: pdf (224K),


In many applications of real-number computation we need to evaluate elementary functions such as exp(x), ln(x), arctan(x) to high precision. We survey some of the well-known (and not so well-known) techniques as well as mentioning some new ideas.

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