Perturbed Spectra of Defective Matrices

Some Results on Polynomial Numerical Hulls of Perturbed Matrices

In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.

Detection of perturbed quantization (PQ) steganography based on empirical matrix

Perturbed Quantization (PQ) steganography scheme is almost undetectable with the current steganalysis methods. We present a new steganalysis method for detection of this data hiding algorithm. We show that the PQ method distorts the dependencies of DCT coefficient values; especially changes much lower than significant bit planes. For steganalysis of PQ, we propose features extraction from the e...

Eigensolutions of perturbed nearly defective matrices

Departure from Normality and Eigenvalue Perturbation Bounds

Perturbation bounds for eigenvalues of diagonalizable matrices are derived that do not depend on any quantities associated with the perturbed matrix; in particular the perturbed matrix can be defective. Furthermore, Gerschgorin-like inclusion regions in the Frobenius are derived, as well as bounds on the departure from normality. 1. Introduction. The results in this paper are based on two eigen...

The Characteristic Polynomial of Some Perturbed Tridiagonal k-Toeplitz Matrices

We generalize some recent results on the spectra of tridiagonal matrices, providing explicit expressions for the characteristic polynomial of some perturbed tridiagonal k-Toeplitz matrices. The calculation of the eigenvalues (and associated eigenvectors) follows straightforward. Mathematics Subject Classification: 15A18, 42C05, 33C45