On some tridiagonal k-Toeplitz matrices: algebraic and analytical aspects. Applications
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 M...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/43060 |
| Acceso en línea: | http://hdl.handle.net/11441/43060 https://doi.org/10.1016/j.cam.2005.01.025 |
| Access Level: | acceso abierto |
| Palabra clave: | k−Toeplitz matrices Jacobi matrices orthogonal polynomials chain models |
| Sumario: | 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. |
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