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) in the early 1990s using Mathematica.
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.
- 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
References
Crandall, Richard (1997). "The Challenge of Large Numbers". Scientific American. 276 (2): 74–78. Bibcode:1997SciAm.276b..74C. doi:10.1038/scientificamerican0297-74. JSTOR 24993611. Retrieved 29 March 2023. https://jstor.org/stable/24993611 ↩
"Mathematica Use of Renowned Computational Scientist and Author Richard Crandall". Wolfram Research. Retrieved 29 March 2023. https://wolfram.com/customer-stories/mathematica-use-of-renowned-computational-scientist-and-author-richard-crandall.html ↩
Thall, Andrew. "Fast Mersenne Prime Testing on the GPU" (PDF). Retrieved 29 March 2023. https://ece.northeastern.edu/groups/nucar/GPGPU4/files/thall.pdf ↩