Abstract and Applied Analysis

Norms and Spread of the Fibonacci and Lucas RSFMLR Circulant Matrices

Wenai Xu and Zhaolin Jiang

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2014), Article ID 428146, 8 pages.

Dates
First available in Project Euclid: 15 April 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1429104653

Digital Object Identifier
doi:10.1155/2015/428146

Mathematical Reviews number (MathSciNet)
MR3326639

Zentralblatt MATH identifier
1383.15031

Citation

Xu, Wenai; Jiang, Zhaolin. Norms and Spread of the Fibonacci and Lucas RSFMLR Circulant Matrices. Abstr. Appl. Anal. 2015, Special Issue (2014), Article ID 428146, 8 pages. doi:10.1155/2015/428146. https://projecteuclid.org/euclid.aaa/1429104653


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