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Improvement of the .PI. Calculation Algorithm and Implementation of Fast Multiple-Precision Computation.

Accession number;99A0182291

Title;Improvement of the .PI. Calculation Algorithm and Implementation of Fast Multiple-Precision Computation.

Author; OURA TAKUYA (Res. Inst. for Math. Sci., Kyoto Univ.)

Journal Title;Joho Shori Gakkai Kenkyu Hokoku

Journal Code:Z0031B

ISSN:0919-6072

VOL.98;NO.115(HPC-74);PAGE.25-30(1998)

Figure&Table&Reference;TBL.1, REF.9

Pub. Country;Japan

Language;Japanese

Abstract;In this paper, we derive efficient quadratic and quartic iteration algorithms from improvement of the Gauss's arithmetic-geometric mean algorithm. We also derive an efficient simultaneous Newton iteration for radical root calculation and implement a fast multiple-precision computation. (author abst.)

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