@TechReport{Dartmouth:TR97-303, author = {Thomas H. Cormen and Jake Wegmann and David M. Nicol}, title = {{Multiprocessor Out-of-Core FFTs with Distributed Memory and Parallel Disks}}, institution = {Dartmouth College, Computer Science}, address = {Hanover, NH}, number = {PCS-TR97-303}, year = {1997}, month = {January}, URL = {http://www.cs.dartmouth.edu/reports/TR97-303.ps.Z}, comment = { Revised version appeared in IOPADS '97. }, abstract = { This paper extends an earlier out-of-core Fast Fourier Transform (FFT) method for a uniprocessor with the Parallel Disk Model (PDM) to use multiple processors. Four out-of-core multiprocessor methods are examined. Operationally, these methods differ in the size of "mini-butterfly" computed in memory and how the data are organized on the disks and in the distributed memory of the multiprocessor. The methods also perform differing amounts of I/O and communication. Two of them have the remarkable property that even though they are computing the FFT on a multiprocessor, all interprocessor communication occurs outside the mini-butterfly computations. Performance results on a small workstation cluster indicate that except for unusual combinations of problem size and memory size, the methods that do not perform interprocessor communication during the mini-butterfly computations require approximately 86% of the time of those that do. Moreover, the faster methods are much easier to implement. } }