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Determining an Out-of-Core FFT Decomposition Strategy for Parallel Disks by Dynamic Programming
Thomas H. Cormen
Dartmouth PCS-TR97-322

Abstract: We present an out-of-core FFT algorithm based on the in-core FFT method developed by Swarztrauber. Our algorithm uses a recursive divide-and-conquer strategy, and each stage in the recursion presents several possibilities for how to split the problem into subproblems. We give a recurrence for the algorithm's I/O complexity on the Parallel Disk Model and show how to use dynamic programming to determine optimal splits at each recursive stage. The algorithm to determine the optimal splits takes only Theta(lg^2 N) time for an N-point FFT, and it is practical. The out-of-core FFT algorithm itself takes considerably longer.

Note: Also appeared in Proceedings of the Workshop on Algorithms for Parallel Machines, 1996-97 Special Year on Mathematics of High Performance Computing, Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, September 1996.

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   Thomas H. Cormen, "Determining an Out-of-Core FFT Decomposition Strategy for Parallel Disks by Dynamic Programming." Dartmouth Computer Science Technical Report PCS-TR97-322, July 1997.

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