@Article{cormen:fft, author = {Thomas H. Cormen and David M. Nicol}, title = {Performing Out-of-Core {FFTs} on Parallel Disk Systems}, journal = {Parallel Computing}, year = {1998}, month = {January}, volume = {24}, number = {1}, pages = {5--20}, publisher = {North-Holland}, copyright = {North-Holland}, earlier = {cormen:fft-tr}, keywords = {parallel I/O, out of core, scientific computing, FFT, pario-bib}, abstract = {The fast Fourier transform (FFT) plays a key role in many areas of computational science and engineering. Although most one-dimensional FFT problems can be solved entirely in main memory, some important classes of applications require out-of-core techniques. For these, use of parallel I/O systems can improve performance considerably. This paper shows how to perform one-dimensional FFTs using a parallel disk system with independent disk accesses. We present both analytical and experimental results for performing out-of-core FFTs in two ways: using traditional virtual memory with demand paging, and using a provably asymptotically optimal algorithm for the parallel disk model (PDM) of I.S. Vitter and E.A.M. Shriver (1994). When run on a DEC 2100 server with a large memory and eight parallel disks, the optimal algorithm for the PDM runs up to 144.7 times faster than in-core methods under demand paging. Moreover, even including I/O costs, the normalized times for the optimal PDM algorithm are competitive, or better than, those for in-core methods even when they run entirely in memory.}, comment = {see also cormen:fft2 and cormen:fft3. Part of a special issue.} }