Results 81 to 90 of about 2,313 (171)
On the g-circulant solutions to the matrix equation Am = λJ, II
, 1985 Let g and n be positive integers and let k = n(g, n)(gm, n). If θ(x) is a multiple of Σi = 0k − 1 xi, then the g-circulant whose Hall polynomial is equal to θ(x) satisfies the matrix equation in the title.
King, Fenn, Wang, Kai
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Best Conditioned Circulant Preconditioners
, 1992 In this paper, we discuss the solutions to a class of Hermitian positive definite system Ax = b by the preconditioned conjugate gradient method with circulant preconditioner C.
Raymond H. Chan, C.K. Wong
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Learning Circulant Sensing Kernels
, 2012 In signal acquisition, Toeplitz and circulant matrices are widely used as sensing operators. They correspond to discrete convolutions and are easily or even naturally realized in various applications.
Xu, Yangyang, Osher, Stanley, Yin, Wotao
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The spectral norm of a Horadam circulant matrix
, 2017 Let $a$, $b$, $p$, $q$ be integers and~$(h_n)$ defined by $h_0=a$, $h_1=b$, $h_n=ph_{n-1}+qh_{n-2}$, $n=2,3,\dots$. Complementing to certain previously known results, we study the spectral norm of the circulant matrix corresponding to $h_0,\dots,h_{n-1}$.
Merikoski, Jorma K. +3 more
openaire +2 more sources
A Fast GPU Algorithm for the Inverse of a Circulant Matrix
, 2011 Circulant matrix is a special case of Toeplitz matrix, which is widely used in many domains of specialization, especially in image and digital signal processing. Calculating the inverse of this category of matrices consists of the following three steps: (
Rui Xia Zhang, Zuo Yong Zheng
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Further studies on circulant completion of graphs
A circulant graph C(n,S) is a graph having its adjacency matrix as a circulant matrix. It can also be intrepreted as a graph with vertices v0,v1,...,vn-1 that are in one to one correspondence with the members of Zn and with edge set {vivj:i-j ∈ S}, where
Antony, Tony, Naduvath, Sudev
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On k-circulant matrices (with geometric sequence)
, 2016 Let k be a nonzero complex number. In this paper we show how the inverse of a nonsingular k-circulant matrix can be obtained. The method is used to determine the inverse of a nonsingular k-circulant matrix with geometric sequence.
Radičić, Biljana
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Compressed Sensing for Thoracic MRI with Partial Random Circulant Matrices
, 2012 The use of circulant matrix as the sensing matrix in compressed sensing (CS) scheme has recently been proposed to overcome the limitation of random or partial Fourier matrices. Aside from reducing computational complexity, the use of circulant matrix for
Swastika, Windra; Ma Chung University +1 more
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A note on superoptimal generalized circulant preconditioners
, 2013 Circulant matrices can be effective preconditioners for linear systems of equations with a Toeplitz matrix. Several approaches to construct such preconditioners have been described in the literature.
NOSCHESE, Silvia +2 more
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, 1996 Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs.
Jennifer Seberry (19583125) +1 more
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