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Title: On some tridiagonal k-Toeplitz matrices: Algebraic and analytical aspects. Applications
Authors: Álvarez-Nodarse, R.
Petronilho, J.
Quintero, N. R.
Keywords: k-Toeplitz matrices
Jacobi matrices
Orthogonal polynomials
Chain models
Issue Date: 2005
Citation: Journal of Computational and Applied Mathematics. 184:2 (2005) 518-537
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.
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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