Explicit inverse of a tridiagonal k−Toeplitz matrix
نویسندگان
چکیده
منابع مشابه
Explicit inverse of a tridiagonal k-Toeplitz matrix
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 enable us to s...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2005
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-005-0596-3