Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Issue on Nonlinear electronics: phenomena, models and computational methods
Verified sharp bounds for the real gamma function over the entire floating-point range
Siegfried M. Rump
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2014 年 5 巻 3 号 p. 339-348

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抄録
An algorithm is presented for computing verified and accurate bounds for the value of the gamma function over the entire real double precision floating-point range. It means that for every double precision floating-point number x except the poles -k for 0 ≤ k ∈ N the true value of Γ(x) is included within an almost maximally accurate interval with floating-point bounds. One motivation to write this note are some erroneous results in Matlab's gamma function. The application to interval arguments x ∈ IF, thus enclosing the range of Γ over x, is discussed as well.
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© 2014 The Institute of Electronics, Information and Communication Engineers
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