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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 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.

Suggested Citation

  • Yanpeng Gong & Zhaolin Jiang & Yun Gao, 2015. "On Jacobsthal and Jacobsthal‐Lucas Circulant Type Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:418293
    DOI: 10.1155/2015/418293
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    References listed on IDEAS

    as
    1. Xiaoyu Jiang & Kicheon Hong, 2014. "Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Zhaolin Jiang & Jinjiang Yao & Fuliang Lu, 2014. "On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    3. Zhaolin Jiang & Jinjiang Yao & Fuliang Lu, 2014. "On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Zhaolin Jiang & Yanpeng Gong & Yun Gao, 2014. "Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, June.
    5. Xiaoyu Jiang & Kicheon Hong, 2014. "Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, June.
    6. Zhaolin Jiang & Yanpeng Gong & Yun Gao, 2014. "Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    Full references (including those not matched with items on IDEAS)

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