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

We use a new method of matrix decomposition for r-circulant matrix to get the determinants of An=CircrF1,F2,…,Fn and Bn=CircrL1,L2,…,Ln, where Fn is the Fibonacci numbers and Ln is the Lucas numbers. Based on these determinants and the nonsingular conditions, inverse matrices are derived. The expres...

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Bibliographic Details
Published in:Journal of Mathematics
Main Authors: Jiangming Ma, Tao Qiu, Chengyuan He
Format: Article
Language:English
Published: Wiley 2021-01-01
Online Access:http://dx.doi.org/10.1155/2021/4782594