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

被引：19

作者：

Alvarez-Nodarse, R

Petronilho, J

Quintero, NR

机构：

[1] Univ Seville, Dpto Anal Matmat, Seville 41080, Spain

[2] Univ Granada, Inst Carlos Fis Teor & Computac 1, E-18071 Granada, Spain

[3] Univ Coimbra, Dpto Matemat, P-3001454 Coimbra, Portugal

[4] Univ Seville, Dpto Fis Aplicada 1, Seville 41011, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 184卷 / 02期

关键词：

k-Toeplitz matrices; Jacobi matrices; orthogonal polynomials; chain models;

D O I：

10.1016/j.cam.2005.01.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：518 / 537

页数：20

共 33 条

[1] Comments on the spectrum of a tridiagonal k-Toeplitz matrix
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[2] Explicit inverse of a tridiagonal k-Toeplitz matrix
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[3] Inverses of k-Toeplitz matrices with applications to resonator arrays with multiple receivers
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[4] Tridiagonal Toeplitz matrices: properties and novel applications
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[5] On decomposition of k-tridiagonal l-Toeplitz matrices and its applications
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[6] Inversion of k-tridiagonal matrices with Toeplitz structure
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[7] ON DETERMINANTS AND PERMANENTS OF k-TRIDIAGONAL TOEPLITZ MATRICES
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[8] Inverses of tridiagonal Toeplitz and periodic matrices with applications to mechanics
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[9] Some comments on tridiagonal (p, r)-Toeplitz matrices
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[10] TRIDIAGONAL APPROACH TO THE ALGEBRAIC ENVIRONMENT OF TOEPLITZ MATRICES .1. BASIC RESULTS
DELSARTE, P
GENIN, Y
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1991, 12 (02) : 220 - 238

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