An in-place truncated Fourier transform. (May 2022)

• Record Type: Journal Article
• Authors: Coxon, Nicholas
• Is Part Of: Journal of symbolic computation. Volume 110(2022)
• Page Start: 66
• Page End: 80
• Publication Date: 2022-05
• Subjects: Fast Fourier transform -- Truncated Fourier transform -- In-place algorithms; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2021.10.002
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We show that simple modifications to van der Hoeven's forward and inverse truncated Fourier transforms allow the algorithms to be performed in-place, and with only a linear overhead in complexity.