On some tridiagonal k-Toeplitz matrices: Algebraic and analytical aspects. Applications

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• 作者：R. Á ; lvarez-Nodarse ; J. Petronilho and N.R. Quintero
• 关键词：k-Toeplitz matrices ; Jacobi matrices ; Orthogonal polynomials ; Chain models
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2005
• 出版时间：2005
• 年：2005
• 卷：184
• 期：2
• 页码：518-537
• 全文大小：322 K

文摘

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.