On Q-circulant matrices

被引：1
|
作者：
Li, Hongjian [1 ]
Zhang, Weilin [1 ]
Yuan, Pingzhi [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Q-circulant matrix; Algebraic structure; Eigenvalues; Inverse; FIBONACCI; JACOBSTHAL; HORADAM; NORMS;
D O I：
10.1007/s40314-024-02683-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we generalize the concepts of circulant matrix, r-circulant matrix, (r, m)-circulant like matrix, H-circulant matrix and s-H-circulant matrix, and a new type of matrix called Q-circulant matrix is introduced, where Q is a non-derogatory matrix. The algebraic structure, eigenvalues and inverses of Q-circulant matrices are studied. Moreover, the eigenvalues of Q-circulant matrices whose entries are Horadam, Fibonacci, Jacobsthal, Pell numbers and arithmetic sequences are given.
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页数：13
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