Please use this identifier to cite or link to this item:
https://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: | https://hdl.handle.net/10316/7740 | DOI: | 10.1007/s00211-005-0596-3 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.