A New Method of Matrix Decomposition to Get the Determinants and Inverses of r-Circulant Matrices with Fibonacci and Lucas Numbers

被引：1
|
作者：
Ma, Jiangming [1 ]
Qiu, Tao [2 ]
He, Chengyuan [3 ]
机构：
[1] Xihua Univ, Sch Econ, Chengdu 610039, Sichuan, Peoples R China
[2] Sichuan Deyang 5 Middle Sch, Deyang 618000, Sichuan, Peoples R China
[3] Xihua Univ, Sch Sci, Chengdu 610039, Sichuan, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
D O I：
10.1155/2021/4782594
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use a new method of matrix decomposition for r-circulant matrix to get the determinants of A n. Circ r(F-1, F-2,..., F-n) and B n. Circ r (L-1, L-2,..., L-n), where F n is the Fibonacci numbers and L n is the Lucas numbers. Based on these determinants and the nonsingular conditions, inverse matrices are derived. +e expressions of the determinants and inverse matrices are represented by Fibonacci and Lucas Numbers. In this study, the formulas of determinants and inverse matrices are much simpler and concise for programming and reduce the computational time.
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页数：9
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