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Norms and Spread of the Fibonacci and Lucas RSFMLR Circulant Matrices

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  • Wenai Xu
  • Zhaolin Jiang

Abstract

Circulant type matrices have played an important role in networks engineering. In this paper, firstly, some bounds for the norms and spread of Fibonacci row skew first‐minus‐last right (RSFMLR) circulant matrices and Lucas row skew first‐minus‐last right (RSFMLR) circulant matrices are given. Furthermore, the spectral norm of Hadamard product of a Fibonacci RSFMLR circulant matrix and a Lucas RSFMLR circulant matrix is obtained. Finally, the Frobenius norm of Kronecker product of a Fibonacci RSFMLR circulant matrix and a Lucas RSFMLR circulant matrix is presented.

Suggested Citation

  • Wenai Xu & Zhaolin Jiang, 2015. "Norms and Spread of the Fibonacci and Lucas RSFMLR Circulant Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:428146
    DOI: 10.1155/2015/428146
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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. 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.
    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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