Skip to search formSkip to main contentSkip to account menu

Circulant matrix

Known as: Circulant, Circulant determinant, Circulant matrices 
In linear algebra, a circulant matrix is a special kind of Toeplitz matrix where each row vector is rotated one element to the right relative to the… 
Wikipedia (opens in a new tab)

Related topics

Related topics

27 relations
Adjacency matrixCircular convolutionCompetitive Lotka–Volterra equationsConvolution

Broader (1)

Numerical linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2016
Highly Cited
2016
Lightweight MDS Generalized Circulant Matrices
In this article, we analyze the circulant structure of generalized circulant matrices to reduce the search space for finding… 
Highly Cited
2013
Highly Cited
2013
A circulant preconditioner for fractional diffusion equations
Highly Cited
2009
Highly Cited
2009
Quasicyclic low-density parity-check codes from circulant permutation matrices
In this correspondence, the construction of low-density parity-check (LDPC) codes from circulant permutation matrices is… 
Highly Cited
2009
Highly Cited
2009
An Efficient TVL1 Algorithm for Deblurring Multichannel Images Corrupted by Impulsive Noise
We extend the alternating minimization algorithm recently proposed in [Y. Wang, J. Yang, W. Yin, and Y. Zhang, SIAM J. Imag. Sci… 
Highly Cited
2008
Highly Cited
2008
Distributed differential space-time coding for wireless relay networks
Distributed space-time coding is a cooperative transmission scheme for wireless relay networks. With this scheme, antennas of the… 
Highly Cited
2007
Highly Cited
2007
Construction of Quasi-Cyclic LDPC Codes for AWGN and Binary Erasure Channels: A Finite Field Approach
In the late 1950s and early 1960s, finite fields were successfully used to construct linear block codes, especially cyclic codes… 
Highly Cited
2004
Highly Cited
2004
LDPC block and convolutional codes based on circulant matrices
A class of algebraically structured quasi-cyclic (QC) low-density parity-check (LDPC) codes and their convolutional counterparts… 
Highly Cited
1999
Highly Cited
1999
Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear
Superlinear preconditioners (those that provide a proper cluster at 1) are very important for the cg-like methods since they make… 
Highly Cited
1992
Highly Cited
1992
On the representation of operators in bases of compactly supported wavelets
This paper describes exact and explicit representations of the differential operators, ${{d^n } / {dx^n }}$, $n = 1,2, \cdots… 
Highly Cited
1979
Highly Cited
1979
Isomorphism of circulant graphs and digraphs
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)