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Efficient algorithm for finding the inverse and the group inverse of FLSr-circulant matrix

Journal of Applied Mathematics and Computing, 2005
FLS \(r\)-circulant and FLS \(r\)-retrocirculant matrices are defined. Based on the proved theorems algorithms are deduced for the computation of the inverse or group inverse of regular and singular FLS \(r\)-circulant matrices, respectively, using representations of the matrices and the Euclidean algorithm.
Zong-Ben Xu
exaly   +2 more sources

A Strong Spectral Inverse for an r-Circulant Matrix

SIAM Journal on Applied Mathematics, 1974
When $(n,r) = 1$, the Moore–Penrose pseudo-inverse of an $n \times n$r-circulant matrix is a strong spectral inverse.
Stallings, W. T., Boullion, T. L.
openaire   +2 more sources

Compressive Color Pattern Detection Using Partial Orthogonal Circulant Sensing Matrix

IEEE Transactions on Image Processing, 2020
David Helbert
exaly  

The inverse and the Moore-Penrose inverse of a $k$-circulant matrix with binomial coefficients

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020
Biljana Radičić
exaly  

On the inverse of circulant matrix via generalized k-Horadam numbers

Applied Mathematics and Computation, 2013
Yasin Yazlik
exaly  

Decomposing a matrix into circulant and diagonal factors

Linear Algebra and Its Applications, 2000
Rainer Steinwandt   +2 more
exaly  

Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems

SIAM Journal on Matrix Analysis and Applications, 1992
Thomas Huckle
exaly  

Convex Optimization and Feasible Circulant Matrix Embeddings in Synthesis of Stationary Gaussian Fields

Journal of Computational and Graphical Statistics, 2016
Hannes Helgason, Vladas Pipiras
exaly  

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