Abstract
We show that the characteristic polynomial of a symmetric pentadiagonal Toeplitz matrix is the product of two polynomials given explicitly in terms of the Chebyshev polynomials.
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Elouafi, M. On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices. Arab. J. Math. 7, 91–99 (2018). https://doi.org/10.1007/s40065-017-0194-0
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DOI: https://doi.org/10.1007/s40065-017-0194-0