Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/7740
Title: Explicit inverse of a tridiagonal k-Toeplitz matrix
Authors: Fonseca, C. M. da 
Petronilho, J. 
Issue Date: 2005
Citation: Numerische Mathematik. 100:3 (2005) 457-482
Abstract: Summary 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.).
URI: http://hdl.handle.net/10316/7740
DOI: 10.1007/s00211-005-0596-3
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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