Irrational base discrete weighted transform
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In mathematics, the irrational base discrete weighted transform (IBDWT) is a variant of the fast Fourier transform using an irrational base; it was developed by Richard Crandall (Reed College), Barry Fagin (Dartmouth College) and Joshua Doenias (NeXT Software)[citation needed] in the early 1990s using Mathematica.[citation needed]
The IBDWT is used in the Great Internet Mersenne Prime Search's client Prime95 to perform FFT multiplication, as well as in other programs implementing Lucas-Lehmer test, such as CUDALucas and Glucas.
References
- Richard Crandall, Barry Fagin: Discrete weighted transforms and large-integer arithmetic, Mathematics of Computation 62, 205, 305-324, January 1994 (PDF file)
- Richard Crandall: Topics in Advanced Scientific Computation, TELOS/Springer-Verlag
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