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Xu, Wenai; Jiang, Zhaolin

Norms and spread of the Fibonacci and Lucas RSFMLR circulant matrices. (English) Zbl 1383.15031

Abstr. Appl. Anal. 2015, Article ID 428146, 8 p. (2015).
Summary: 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.

MSC:

15B36 Matrices of integers
15B05 Toeplitz, Cauchy, and related matrices
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
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