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Parallel compact FFTs for real sequences. (English) Zbl 0784.65108
Parallel algorithms for the fast Fourier transform are given to use the SIMD- and MIMD-type multiprocessors with distributed memories. These algorithms are of the in-place type and used for the transformation of real and conjugate-symmetric sequences with minimal communication costs. Values of the computational complexity are less than \(5N/2P \log_ 2 N\).

MSC:
65T50 Numerical methods for discrete and fast Fourier transforms
65Y05 Parallel numerical computation
65Y20 Complexity and performance of numerical algorithms
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