Abstract:
We show the reconstruction of Toeplitz matrix inverses from given columns and the inversion of conjugate-Toeplitz and Hankel matrices with the explicit inverses of CUPL-Toeplitz and Hankel matrices , cyclic displacements and decompositions of inverse matrices for CUPL Toeplitz matrices. The construction of nonnegative matrices and realization of partitioned spectra and the inverse eigenvalue problem are studied . We give the realizing Suleimanova spectra by permutative matrices, the spectra of structured matrices, block matrices and Guo’s index for block circulant matrices with circulant blocks . The comparative study of commuting matrix approaches for the discrete fractional fourier transform that based on new nearly tridiagonal commuting matrices are characterized . We also study the difference operators ,the image encryption by discrete fractional Fourier-type transforms ,by random matrices and in signal and image processing.
