Algorithms for computing complete elliptic integrals and some related functions |
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Authors: | V. N. Belykh |
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Affiliation: | 1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
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Abstract: | We propose some new algorithms for computing the complete elliptic integrals of the first and second kinds and some related functions. The algorithms are constructed from rapidly converging power series; the sign-definiteness of the terms of the series guarantees their good conditionality (stability with respect to rounding errors). The algorithms turned out flexible and easily adjustable to every specific demand of computational mathematics. |
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