Yao Yu, Zhaolin Jiang, "On the Norms and Spreads of Fermat, Mersenne and Gaussian Fibonacci RFMLR Circulant Matrices," WSEAS Transactions on Mathematics, vol. 15, pp. 34-43, 2016, DOI:
Yao Yu, Zhaolin Jiang. On the Norms and Spreads of Fermat, Mersenne and Gaussian Fibonacci RFMLR Circulant Matrices.
WSEAS Transactions on Mathematics. 2016;15:34-43.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
On the Norms and Spreads of Fermat, Mersenne and Gaussian Fibonacci RFMLR Circulant Matrices
Authors: ,
Abstract: In this paper, we consider norms and spreads of RFMLR circulant matrices involving the Fermat, Mersenne sequences and Gaussian Fibonacci number, respectively. Firstly, we reviewed some properties of the Fermat, Mersenne sequences, Gaussian Fibonacci number and RFMLR circulant matrices. Furthermore, we give lower and upper bounds for the spectral norms and spread of these special matrices. Finally, we give several corollaries related to norms of Hadamard and Kronecker products of these matrices.
Keywords:
RFMLR circulant matrix, Norm, Spread, Fermat sequence, Mersenne sequence, Gaussian Fibonacci number
Pages: 34-43 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #4 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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