Abstract
The eigenvalues of a Band Toeplitz matrix T n with a function f are expressed as the zeros of rational functions whose poles are f e i θ j , where θ j are explicitly given, and whose residues are determinants of fixed size with entries dependent of f e i θ j . For the special case of symmetric band Toeplitz matrices, our results extend the particular cases discussed in Elouafi (2011) and Solary (2013).
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