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On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices

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  • Yanpeng Gong
  • Zhaolin Jiang
  • Yun Gao

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.

Suggested Citation

  • Yanpeng Gong & Zhaolin Jiang & Yun Gao, 2015. "On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-11, March.
    • Handle: RePEc:hin:jnlaaa:418293
    DOI: 10.1155/2015/418293
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