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• W2071306010 abstract "We obtain explicit formulas for the entries of the inverse of a nonsingular and irreducible tridiagonal k−Toeplitz matrix A. The proof is based on results from the theory of orthogonal polynomials and it is shown that the entries of the inverse of such a matrix are given in terms of Chebyshev polynomials of the second kind. We also compute the characteristic polynomial of A which enables us to state some conditions for the existence of A−1. Our results also extend known results for the case when the residue mod k of the order of A is equal to 0 or k−1 (Numer. Math., 10 (1967), pp. 153–161.)." @default.
• W2071306010 created "2016-06-24" @default.
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• W2071306010 date "2005-03-30" @default.
• W2071306010 modified "2023-10-12" @default.
• W2071306010 title "Explicit inverse of a tridiagonal k−Toeplitz matrix" @default.
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• W2071306010 doi "https://doi.org/10.1007/s00211-005-0596-3" @default.
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