On Jacobsthal and Jacobsthal‐Lucas Circulant Type Matrices

Yanpeng Gong, Zhaolin Jiang and Yun Gao

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

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 g‐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 g‐circulant matrices is also discussed. We obtain the determinants and the inverse matrices of the left circulant and g‐circulant matrices by utilizing the relation between left circulant, g‐circulant matrices, and circulant matrix, respectively.

Date: 2015
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https://doi.org/10.1155/2015/418293

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:418293

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