The explicit identities for spectral norms of circulant-type matrices involving binomial coefficients and harmonic numbers
type: Item
instance of: scholarly article
title: The explicit identities for spectral norms of circulant-type matrices involving binomial coefficients and harmonic numbers
zbMATH Open document ID: 1407.15027
DOI: 10.1155/2014/518913
author: Xiangyong Chen
author: Jianwei Zhou
author: Zhao-Lin Jiang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The explicit formulae of spectral norms for circulant-type matrices are investigated; the matrices are circulant matrix, skew-circulant matrix, and \(g\)-circulant matrix, respectively. The entries are products of binomial coefficients with harmonic numbers. Explicit identities for these spectral norms are obtained. Employing these approaches, some numerical tests are listed to verify the results.
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15B05
zbMATH DE Number: 7016647
Wikidata QID: Q57616257
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/518913
OpenAlex ID: W2000196782
cites work: Hypergeometric series and harmonic number identities
cites work: Study of proper circulant weighing matrices with weight 9
cites work: Algorithmic and explicit determination of the Lovász number for certain circulant graphs
cites work: An explicit form of the inverse of a particular circulant matrix
cites work: A note on circulant transition matrices in Markov chains
cites work: Q3208805
cites work: Generating Solutions to the N-Queens Problem Using 2-Circulants
cites work: Enumeration of 2-regular circulant graphs and directed double networks
cites work: Multiplicative circulant networks. Topological properties and communication algorithms
cites work: Self-dual doubly circulant codes
cites work: Factorization of symmetric circulant matrices in finite fields
cites work: \(g\)-circulant solutions to the (0,1) matrix equation \(A^m=J_n\)
cites work: Q2724479
cites work: Circulant and skew-circulant preconditioners for skew-Hermitian type Toeplitz systems
cites work: Toeplitz preconditioners for Hermitian Toeplitz systems
cites work: Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems
cites work: Four-dimensional lattice rules generated by skew-circulant matrices
cites work: Poisson convergence of eigenvalues of circulant type matrices
cites work: Spectral norm of circulant-type matrices
cites work: Circulant type matrices with heavy tailed entries
cites work: Spectral Features and Asymptotic Properties for g-Circulants and g-Toeplitz Sequences
cites work: On the norms of circulant matrices with the Fibonacci and Lucas numbers
cites work: On the spectral norms of circulant matrices with classical Fibonacci and Lucas numbers entries
cites work: The Pseudoinverse of an r-Circulant Matrix
cites work: Matrix Analysis
description: scientific article; zbMATH DE number 7016647