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- Title
On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices.
- Authors
Gong, Yanpeng; Jiang, Zhaolin; Gao, Yun
- 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.
- Subjects
CIRCULANT matrices; MATRIX inversion; FRACTIONAL differential equations; LUCAS numbers; DETERMINANTS (Mathematics)
- Publication
Abstract & Applied Analysis, 2015, Vol 2015, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2015/418293