A proof of Aneli\'c-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization

Abstract

We present a proof of determinant of special nonsymmetric Toeplitz matrices conjectured by Aneli\'c and Fonseca in andjelic2020some. A proof is also demonstrated for a more general theorem. The two conjectures are therefore just two possible results, under two specific settings. Numerical examples validating the theorem are provided.

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