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

[31] On an integral representation of the normalized trace of the k-th symmetric tensor power of matrices and some applications
Issa, Hassan
Abbas, Hassane
Mourad, Bassam
LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (07): : 1198 - 1216
[32] ISOELECTRIC-FOCUSING IN IMMOBILIZED PH GRADIENTS - ANALYTICAL AND PREPARATIVE ASPECTS AND APPLICATIONS TO THE ANALYSIS OF SOME BLOOD PROTEINS
RIGHETTI, PG
GELFI, C
REVUE FRANCAISE DE TRANSFUSION ET IMMUNO-HEMATOLOGIE, 1984, 27 (06): : 671 - 690
[33] Some Aspects of o(2,1) and Some Applications of o(4) and o(4,2) to Atomic Physics Integrable Systems Algebraic Methods and Lie Algebra Contractions
De, Prunele, E.
International Journal of Modern Physics A, 12 (01):

← 1 2 3 4 →