Explicit form of determinants and inverse matrices of Tribonacci r-circulant type matrices

被引：5
|
作者：
Jiang, Xiaoyu [2 ]
Hong, Kicheon [1 ]
机构：
[1] Univ Suwon, Dept Informat & Telecommun Engn, Hwaseong Si 445743, Gyeonggi Do, South Korea
[2] Linyi Univ, Coll Informat, Linyi, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2018年 / 56卷 / 04期
关键词：
r-Circulant matrix; r-Left circulant matrix; Determinant; Inverse; Tribonacci number; LUCAS-NUMBERS; SPECTRAL NORMS; FIBONACCI; SYSTEMS;
D O I：
10.1007/s10910-017-0843-8
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
The determinants and inverses of Tribonacci r-circulant type matrices are discussed in the paper. Firstly, Tribonacci r-circulant type matrices are defined. In addition, we show the invertibility of the Tribonacci r-circulant matrix and present the determinant and the inverse matrix based on constructing the transformation matrices. By utilizing the relation between r-circulant and r-left circulant, the invertibility of the Tribonacci r-left circulant matrix are also discussed. Finally, the determinants and the inverse matrices of the these matrices are given, respectively.
引用
收藏
页码：1234 / 1249
页数：16
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