Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

Explicit inverses of generalized Tribonaccicirculant type matrices

Explicit inverses of generalized Tribonaccicirculant type matrices

Shouqiang SHEN, Weijun LİU, Lihua FENG

Sayfa
689–699
DOI
—

Abstract

In this paper, we consider generalized Tribonacci circulant type matrices, including thecirculant and left circulant. Firstly, we discuss the invertibility of generalized Tribonaccicirculant matrix and give the explicit determinant and inverse matrix based on construct-ing the transformation matrices. Afterwards, by utilizing the relation between circulantand left circulant, the invertibility of generalized Tribonacci left circulant matrix is alsodiscussed. The determinant and inverse of generalized Tribonacci left circulant matrix aregiven respectively.