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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2025 Volume 65, Number 3, Pages 251–257 (Mi zvmmf11934)

General numerical methods

Indexing in the Good–Thomas fast Fourier transform algorithm

M. S. Bespalov

Vladimir State University, 600000, Vladimir, Russia

Abstract: A simple principle is described for the formation of input and output indexing of arrays in the fast Good–Thomas algorithm for implementing the discrete Fourier transform. Specific examples are used to show how its superposition with a fast algorithm of constant structure can be constructed. A generalization of the algorithm to three or more coprime factors is considered.

Key words: discrete Fourier transform, fast algorithm, array indexing.

UDC: 517.58

Received: 30.08.2024
Revised: 02.12.2024
Accepted: 02.12.2024

DOI: 10.31857/S0044466925030021


 English version:
Computational Mathematics and Mathematical Physics, 2022, 65:3, 449–456

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© Steklov Math. Inst. of RAS, 2026