LEFT AND RIGHT EIGENVECTORS OF A VARIANT OF THE SYLVESTER-KAC MATRIX

被引：1
|
作者：
Chu, Wenchang [1 ]
Kilic, Emrah
机构：
[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou, Henan, Peoples R China
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年 / 109卷 / 02期
关键词：
Sylvester-Kac matrix; tridiagonal matrix; determinant; eigenvalue; eigenvector; scalar product; orthogonality relation; SPECTRUM;
D O I：
10.1017/S0004972723000461
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
As an extension of Sylvester's matrix, a tridiagonal matrix is investigated by determining both left and right eigenvectors. Orthogonality relations between left and right eigenvectors are derived. Two determinants of the matrices constructed by the left and right eigenvectors are evaluated in closed form.
引用
收藏
页码：316 / 326
页数：11
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