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Original Articles

Explicit inversion of Band Toeplitz matrices by discrete Fourier transform

Pages 1767-1782 | Received 13 Oct 2014, Accepted 21 Aug 2017, Published online: 06 Sep 2017
 

Abstract

In this paper, we give an explicit formula for the element of the inverse where is a band Toeplitz matrix with left bandwidth s and right bandwidth r. The formula involves determinants, , whose elements are the discrete Fourier transform of where f is the symbol of .

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Disclosure statement

No potential conflict of interest was reported by the author.

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