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Rational Chebyshev approximations for the inverse of the error function

Authors: J. M. Blair, C. A. Edwards and J. H. Johnson
Journal: Math. Comp. 30 (1976), 827-830
MSC: Primary 65D20; Secondary 33A20
MathSciNet review: 0421040
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Abstract: This report presents near-minimax rational approximations for the inverse of the error function inverf x, for $ 0 \leqslant x \leqslant 1 - {10^{ - 10000}}$, with relative errors ranging down to $ {10^{ - 23}}$. An asymptotic formula for the region $ x \to 1$ is also given.

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Keywords: Rational Chebyshev approximations, inverse error function, minimal Newton form
Article copyright: © Copyright 1976 American Mathematical Society

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