The Sylvester-Kac matrix space

被引：12

作者：

Bevilacqua, Roberto ^{[1
]}

Bozzo, Enrico ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Informat, I-56127 Pisa, Italy

[2] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 430卷 / 11-12期

关键词：

Sylvester-Kac matrix; Tridiagonal matrix; Eigenvalues;

D O I：

10.1016/j.laa.2009.01.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Sylvester-Kac matrix is a tridiagonal matrix with integer entries and integer eigenvalues that appears in a variety of applicative problems. We show that it belongs to a four dimensional linear space of tridiagonal matrices that can be simultaneously reduced to triangular form. We name this space after the matrix. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3131 / 3138

页数：8