1. Variable-Precision Exponentiation.
- Author
-
Richman, P. L. and Timlake, W. P.
- Subjects
COMPUTER algorithms ,COMPUTER programming ,ARTIFICIAL intelligence ,PROGRAMMING languages ,ELECTRONIC data processing ,COMPUTER science - Abstract
A previous paper presented an efficient algorithm, called the Recomputation Algorithm, for evaluating a rational expression to within any desired tolerance on a computer which performs variable-precision arithmetic operations. The Recomputation Algorithm can be applied to expressions involving any variable-precision operations having O(10
-... + Σ ∣ε∣) error bounds, where p denotes the operation's precision and ε, denotes the error in the operation's with argument. This paper presents an efficient variable-precision exponential operation with an error bound of the above order. Other operations, such as log, sin, and cos, which have simple series expansions, can be handled similarly. [ABSTRACT FROM AUTHOR]- Published
- 1973
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