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Gaussian Fibonacci Circulant Type Matrices

Author

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  • Zhaolin Jiang
  • Hongxia Xin
  • Fuliang Lu

Abstract

Circulant matrices have become important tools in solving integrable system, Hamiltonian structure, and integral equations. In this paper, we prove that Gaussian Fibonacci circulant type matrices are invertible matrices for n > 2 and give the explicit determinants and the inverse matrices. Furthermore, the upper bounds for the spread on Gaussian Fibonacci circulant and left circulant matrices are presented, respectively.

Suggested Citation

  • Zhaolin Jiang & Hongxia Xin & Fuliang Lu, 2014. "Gaussian Fibonacci Circulant Type Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:592782
    DOI: 10.1155/2014/592782
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    References listed on IDEAS

    as
    1. 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.
    2. 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).
    3. Juan Li & Zhaolin Jiang & Fuliang Lu, 2014. "Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, May.
    4. Zhaolin Jiang, 2014. "On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Zhaolin Jiang, 2014. "On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    6. Juan Li & Zhaolin Jiang & Fuliang Lu, 2014. "Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized 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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