On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. applications

Authors:
R. Álvarez-Nodarse;J. Petronilho;N. R. Quintero
Affiliations:
Dpto. Análisis Matemático, Universidad de Sevilla, Sevilla, Spain and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain;Dpto. de Matemática, FCTUC, Universidade de Coimbra, Coimbra, Portugal;Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain and Dpto. Física Aplicada I, EUP, Universidad de Sevilla, Virgen de África, Sevilla ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 3
Cited 1

Asymptotic zero distribution of orthogonal polynomials with discontinuously varying recurrence coefficients

Journal of Approximation Theory
Explicit inverse of a tridiagonal k−Toeplitz matrix

Numerische Mathematik
From Toeplitz matrix sequences to zero distribution of orthogonal polynomials

Contemporary mathematics

Orthogonal polynomials on the unit circle via a polynomial mapping on the real line

Journal of Computational and Applied Mathematics

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Abstract

In this paper, we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, eigenvectors and the spectral measure associated to the corresponding infinite matrices. As an application we consider two solvable models related with the so-called chain model. Some numerical experiments are also included.