On the reducibility of centrosymmetric matrices—applications in engineering problems
Circuits, Systems, and Signal Processing
On the asymptotic spectrum of Hermitian block Toeplitz matrices with Toeplitz blocks
Mathematics of Computation
Classroom Note: Centrosymmetric Matrices
SIAM Review
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
Wavelet Algorithms for High-Resolution Image Reconstruction
SIAM Journal on Scientific Computing
Some properties of centrosymmetric matrices
Applied Mathematics and Computation
IEEE Transactions on Information Theory
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Every nxn generalized K-centrosymmetric matrix A can be reduced into a 2x2 block diagonal matrix (see [Z. Liu, H. Cao, H. Chen, A note on computing matrix-vector products with generalized centrosymmetric (centrohermitian) matrices, Appl. Math. Comput. 169 (2) (2005) 1332-1345]). This block diagonal matrix is called the reduced form of the matrix A. In this paper we further investigate some properties of the reduced form of these matrices and discuss the square roots of these matrices. Finally exploiting these properties, the development of structure-preserving algorithms for certain computations for generalized K-centrosymmetric H-matrices is discussed.