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

页码：1234 / 1249

页数：16

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