紀要論文 相加相乗平均による初等超越関数の計算
Calculation of Elementary Transcendental Function by Arithmetic-Geometric Mean

平山 弘  ,  加藤 俊二

41pp.17 - 22 , 2017-03-20 , 神奈川工科大学
ISSN:21882878
NII書誌ID(NCID):AA12669200
内容記述
In 1976, Brent showed that the elementary transcendental functions (exp, log, atan, sin, cosh, etc) can be calculated in O(n(log n)2 log log n) operations with relative error O(2-n) as n → ∞. This algorithms depends on the theory of elliptic integrals, using the arithmetic-geometric mean method. It's learned that this method is effective when calculating by the high precision, but It isn't known in what kind of area this way is effective. In this paper, Elementary transcendental function was calculated and its validity was checked using algorithm of this Brent.
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