Results 101 to 110 of about 2,339 (216)
Copositive matrices with circulant zero support set
, 2017 International audienceLet n≥5 and let u_1,…,u_n be nonnegative real n-vectors such that the indices of their positive elements form the sets {1,2,…,n−2},{2,3,…,n−1},…,{n,1,…,n−3}, respectively.
Hildebrand, Roland
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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
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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
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A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6
, 2009 We exhibit an infinite family of triplets of mutually unbiased bases (MUBs) in dimension 6. These triplets involve the Fourier family of Hadamard matrices, F(a, b).
Jaming, Philippe +9 more
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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
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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
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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
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Statistical Fourier Analysis: Clarifications and Interpretations [PDF]
This paper expounds some of the results of Fourier theory that are essential to the statistical analysis of time series. It employs the algebra of circulant matrices to expose the structure of the discrete Fourier transform and to elucidate the filtering
D.S.G. Pollock
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Eigenvectors of block circulant and alternating circulant matrices,” Res [PDF]
, 2005 . The eigenvectors and eigenvalues of symmetric block circulant ma-trices had been found, and that method is extended to general block circulant matrices. That analysis is applied to Stephen J.
Garry J. Tee, Tee, Garry J.
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Eigenvectors of Compound-Circulant and Alternating Circulant Matrices
, 2002 A circulant matrix whose elements are square submatrices is called a compound-circulant matrix. The eigenvectors and eigenvalues had been found for symmetric compound-circulant matrices, and that method is extended to general compound-circulant matrices.
Tee, Garry J.
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