Results 91 to 100 of about 448,655 (204)
Zhejiang Daxue xuebao. Lixue ban, 2011 Let n be a positive integer, and Cn(r) be the set of all n× nr-circulant matrices over the Boolean algebra B ={0, 1}, . For any fixed r-circulant matrix C(C≠0) in Gn.
CHENJin-song(陈锦松) +1 more
doaj +1 more source
Circulant matrices and mathematical juggling
The Art of Discrete and Applied Mathematics, 2018 Summary: Circulants form a well-studied and important class of matrices, and they arise in many algebraic and combinatorial contexts, in particular as multiplication tables of cyclic groups and as special classes of Latin squares. There is also a known connection between circulants and mathematical juggling.
Richard A. Brualdi, Michael W. Schroeder
openaire +3 more sources
Computing the Square Roots of a Class of Circulant Matrices
Journal of Applied Mathematics, 2012 We first investigate the structures of the square roots of a class of circulant matrices and give classifications of the square roots of these circulant matrices. Then, we develop several algorithms for computing their square roots.
Ying Mei
doaj +1 more source
On the spectral norm of a doubly stochastic matrix and level-k circulant matrix
Special MatricesA simple proof using Birkhoff theorem is given for the result that the spectral norm of a doubly stochastic matrix is 1. We also show that the result generalizes the results of İpek, Bozkurt, and Jiang and Zhou on circulant matrices and rr-circulant ...
Jiang Zhao-Lin, Tam Tin-Yau
doaj +1 more source
On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices
Abstract and Applied Analysis, 2014 Circulant matrices have important applications in solving various differential equations. The level-k scaled factor circulant matrix over any field is introduced.
Zhaolin Jiang
doaj +1 more source
Fast Algorithms for Solving FLS R-Factor Block Circulant Linear Systems and Inverse Problem of AX=b
Abstract and Applied Analysis, 2014 Block circulant and circulant matrices have already become an ideal research area for solving various differential equations. In this paper, we give the definition and the basic properties of FLS R-factor block circulant (retrocirculant) matrix over ...
Zhaolin Jiang
doaj +1 more source
Joins of circulant matrices [PDF]
, 2022 We study the spectrum of the join of several circulant matrices. We apply our results to compute explicitly the spectrum of certain graphs obtained by joining several circulant graphs.Comment: To appear in Linear Algebra and Its ...
Pasini, Federico W. +4 more
core
Doubly stochastic circulant matrices
Discrete Mathematics, 1991 Let \(P_ n\) be the circulant matrix of order \(n\) with the first row of the form \((0,1,0,\ldots,0)\). Let \(G^ 2_ n\) denote the set of all \(n\times n\) doubly stochastic matrices of the form \(\alpha_ nI_ n+\beta P_ n+\gamma_ nP_ n^ 2\), and let \(\mu_ n\) denote the minimum value of the permanent on \(G^ 2_ n\). In the note the lower bound for \(\
openaire +1 more source
Circulant weighing matrices of weight 22t
Designs, Codes and Cryptography, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. T. Arasu 0001 +4 more
openaire +2 more sources
Journal of Function Spaces, 2014 Improved estimates for spectral norms of circulant matrices are investigated, and the entries are binomial coefficients combined with either Fibonacci numbers or Lucas numbers. Employing the properties of given circulant matrices, this paper improves the
Jianwei Zhou
doaj +1 more source