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Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers

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Listed:
  • Tingting Xu
  • Zhaolin Jiang
  • Ziwu Jiang

Abstract

Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial. We give the explicit determinants of the RFPrLrR circulant matrices and RLPrFrL circulant matrices involving Fibonacci, Lucas, Pell, and Pell‐Lucas number, respectively.

Suggested Citation

  • Tingting Xu & Zhaolin Jiang & Ziwu Jiang, 2014. "Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:647030
    DOI: 10.1155/2014/647030
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    References listed on IDEAS

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    1. 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).
    2. 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.
    3. 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).
    4. 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.
    Full references (including those not matched with items on IDEAS)

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