The identical estimates of spectral norms for circulant matrices with binomial coefficients combined with Fibonacci numbers and Lucas numbers entries

DOI10.1155/2014/672398zbMath1287.15007OpenAlexW2164166411WikidataQ59057611 ScholiaQ59057611MaRDI QIDQ2443806

Jian-Wei Zhou

Publication date: 8 April 2014

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/672398

zbMATH Keywords

inequalitiesFibonacci numbersLucas numberscirculant matricesbinomial coefficientsspectral norms

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Related Items (5)

On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbers ⋮ On k-circulant matrices with the Lucas numbers ⋮ The inverse and the Moore-Penrose inverse of a \(k\)-circulant matrix with binomial coefficients ⋮ On \(k\)-circulant matrices involving the Pell numbers ⋮ ON THE CIRCULANT MATRICES WITH THE q-BINOMIAL COEFFICIENTS

Cites Work

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• On the spectral norm of a random Toeplitz matrix
• A remark on the maximum eigenvalue for circulant matrices
• Some results on random circulant matrices
• Spectral Features and Asymptotic Properties for g-Circulants and g-Toeplitz Sequences
• Circulant matrices and time-series analysis
• Matrix Analysis
• The Pseudoinverse of an r-Circulant Matrix
• An Introduction to Statistical Signal Processing

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