On the reducibility of centrosymmetric matrices—applications in engineering problems
Circuits, Systems, and Signal Processing
Real-Valued, Low Rank, Circulant Approximation
SIAM Journal on Matrix Analysis and Applications
On Some Inverse Eigenvalue Problems with Toeplitz-Related Structure
SIAM Journal on Matrix Analysis and Applications
Software for weighted structured low-rank approximation
Journal of Computational and Applied Mathematics
| Hi-index | 0.09 |
We introduce a new simultaneously diagonalizable real algebra A of symmetrical centrosymmetrical matrices having a Toeplitz-plus-Hankel structure. We give the corresponding orthonormal basis of eigenvectors which are alternately symmetrical and skewsymmetrical vectors. An application is the construction of a symmetrical Toeplitz-plus-centrosymmetrical Hankel matrix of equal row sums having a prescribed real spectrum. This matrix can be used as the starting matrix for symmetrical centrosymmetrical isospectral flows. In particular, for the isospectral flow corresponding to the construction of a regular Toeplitz matrix having prescribed eigenvalues. Moreover, if A is a noise representation of an unknown matrix in A of rank k then we give a procedure to approximate A by a matrix in A of rank k.