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, Apdo. 1160, 41080 Sevilla, Spain and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Gr ...;Dpto. de Matemática, FCTUC, Universidade de Coimbra, Apdo. 3001-454 Coimbra, Portugal;Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, Spain and Dpto. Física Aplicada I, EUP, Universidad de Sevilla, Virgen de África ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 4
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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.