Results 21 to 30 of about 448,655 (204)
On circulant involutory MDS matrices [PDF]
Designs, Codes and Cryptography, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Victor Cauchois, Pierre Loidreau
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Block matrices and Guo's index for block circulant matrices with circulant blocks [PDF]
Linear Algebra and its Applications, 2018 In this paper we deal with circulant and partitioned into $n$-by-$n$ circulant blocks matrices and introduce spectral results concerning this class of matrices. The problem of finding lists of complex numbers corresponding to a set of eigenvalues of a nonnegative block matrix with circulant blocks is treated.
Andrade, Enide +3 more
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Cryptography and Communications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arasu, Krishnasamy T., Gutman, Alex J.
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Approximating Inverse of Toeplitz Matrices by Circulant Matrices [PDF]
Methods and Applications of Analysis, 2004 To a continuous complex-valued function \(A\) on the complex unit circle, one can associate a sequence \(\{T_n(a)\}_{n=1}^\infty\) of Toeplitz matrices and a sequence \(\{C_n(a)\}_{n=1}^\infty\) of circulant matrices. In the paper under review, the authors consider the problem of estimating the difference \(T_n^{-1}(a)-C_n^{-1}(a)\) in some sense. They
Bottcher, A. +2 more
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Circulant Weighing Matrices [PDF]
, 2009 The existence status of previously open cases of circulant weighing matrices will be established using various techniques. The results fill in 52 missing entries in Strassler\u27s Table of Circulant Weighing Matrices, which considers matrices of order 1 -
Gutman, Alex James
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An Algorithm for the Permanent of Circulant Matrices [PDF]
Canadian Mathematical Bulletin, 1977 The permanent of an n ✕ n matrix A = (aij) is the matrix function1where the summation is over all permutations in the symmetric group, Sn. An n ✕ n matrix A is a circulant if there are scalars a1 …, an such that2where P is the n ✕ n permutation matrix corresponding to the cycle (12 … n) in Sn.
Cummings, Larry J, Seberry, Jennifer
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Fourier and Circulant Matrices are Not Rigid
Electron. Colloquium Comput. Complex., 2019 The concept of matrix rigidity was first introduced by Valiant in 1977. Roughly speaking, a matrix is rigid if its rank cannot be reduced significantly by changing a small number of entries. There has been extensive interest in rigid matrices as Valiant showed in his MFCS'77 paper that rigidity can be used to prove arithmetic circuit lower bounds. In a
Dvir, Zeev, Liu, Allen
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Journal of Applied Mathematics, 2014 We consider the skew circulant and skew left circulant matrices with any continuous Lucas numbers. Firstly, we discuss the invertibility of the skew circulant matrices and present the determinant and the inverse matrices by constructing the ...
Jin-jiang Yao, Zhao-lin Jiang
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Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers
Abstract and Applied Analysis, 2014 Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices.
Xiaoyu Jiang, Kicheon Hong
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Norms and Spread of the Fibonacci and Lucas RSFMLR Circulant Matrices
Abstract and Applied Analysis, 2015 Circulant type matrices have played an important role in networks engineering. In this paper, firstly, some bounds for the norms and spread of Fibonacci row skew first-minus-last right (RSFMLR) circulant matrices and Lucas row skew first-minus-last right
Wenai Xu, Zhaolin Jiang
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