Results 191 to 200 of about 2,339 (216)

On the circulant intuitionistic fuzzy matrices

Soft Computing, 2021
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exaly   +3 more sources

On Circulant Complex Hadamard Matrices

Designs, Codes and Cryptography, 2002
The authors prove that a circulant complex Hadamard matrix of order \(n\) is equivalent to a relative difference set in the group \(C_4\times C_n\), where the forbidden subgroup is the unique subgroup of order two which is contained in the \(C_4\) component. They obtain several non-existence results for circulant complex Hadamard matrices.
K. T. Arasu 0001, Warwick de Launey, Siu Lun Ma   +2 more
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On Q-circulant matrices

Computational and Applied Mathematics
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Hongjian Li, Weilin Zhang, Pingzhi Yuan
openaire   +1 more source

Factoring Matrices into the Product of Circulant and Diagonal Matrices

Journal of Fourier Analysis and Applications, 2015
This paper deals with decomposing a square complex matrix into circulant and diagonal factors. A complex \(n \times n\) circulant matrix \(C\) takes the form \[ C=\left( \begin{matrix} c_0 & c_{n-1} & c_{n-2} & \cdots & c_2 & c_1 \\ c_1 & c_0 & c_{n-1} & \cdots & c_3 & c_2 \\ c_2 & c_1 & c_0 & \cdots & c_4 & c_3 \\ \vdots & \vdots & \vdots & &\vdots & \
Huhtanen Marko, Perämäki Allan
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Circulative Matrices of Degree $\theta $

SIAM Journal on Matrix Analysis and Applications, 1992
An \(n\times n\) unitary matrix \(P\) such that \(P^ k=I\) for some integer \(k>0\) is here called a circulation matrix. An \(n\times n\) matrix \(W\) such that \(W=e^{i\theta} P^* WP\) is said to be circulative of degree \(\theta\) with respect to the circulation matrix \(P\).
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Realizable list by circulant and skew-circulant matrices

2022
Summary: In this paper for two given sets of eigenvalues, which one of them is the eigenvalues of circulant matrix and the other is the eigenvalues of skew-circulant matrix, we find a nonnegative matrix, such that the union of two sets be the spectrum of nonnegative matrices.
Nazari, Alimohammad, Mohammadi, Reza
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Weak Convergence in Circulant Matrices

Journal of Theoretical Probability, 2005
A circulant matrix is a real square matrix such that each row is obtained by shifting the previous row cyclically. The authors consider a probability measure on the Borel sets of \(d\times d\) circulant matrices, and consider the problem of weak convergence of the convolution sequence \((\mu^n)_{n\geq1}\) on the Borel sets of the closed multiplicative ...
Cureg, E., Mukherjea, A.
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The Structure of Monomial Circulant Matrices

SIAM Journal on Algebraic Discrete Methods, 1987
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Polynomial Equations and Circulant Matrices

The American Mathematical Monthly, 2001
(2001). Polynomial Equations and Circulant Matrices. The American Mathematical Monthly: Vol. 108, No. 9, pp. 821-840.
Dan Kalman, James E. White
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Determinants of binary circulant matrices

International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., 2004
This paper investigate the problem of deciding whether or not determinants of binary circulant matrices (i.e. matrices with entries in either {0,1} or {-1,1} ) can reach Hadamard's bound. It finds necessary and sufficient conditions for the existence of such matrices. A direct consequence of this study relates to the existence of Barker sequences.
Gérard Maze, Hugo Parlier
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