On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices

Yanpeng Gong, Zhaolin Jiang and Yun Gao

Abstract and Applied Analysis, 2015, vol. 2015, 1-11

Abstract:

Circulant type matrices have become an important tool in solving fractional order differential equations. In this paper, we consider the circulant and left circulant and -circulant matrices with the Jacobsthal and Jacobsthal-Lucas numbers. First, we discuss the invertibility of the circulant matrix and present the determinant and the inverse matrix. Furthermore, the invertibility of the left circulant and -circulant matrices is also discussed. We obtain the determinants and the inverse matrices of the left circulant and -circulant matrices by utilizing the relation between left circulant, -circulant matrices, and circulant matrix, respectively.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:418293

DOI: 10.1155/2015/418293

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