Computing discrete convolutions with verified accuracy via Banach algebras and the FFT /

We introduce a method to compute rigorous component-wise enclosures of discrete convolutions using the fast Fourier transform, the properties of Banach algebras, and interval arithmetic. The purpose of this new approach is to improve the implementation and the applicability of computer-assisted proo...

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Typ dokumentu: Článek
Jazyk: angličtina
ISSN: 0862-7940
Zdroj: Applications of mathematics: Vol. 63, no. 3 (2018), s. 219-235.
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