Mathematics – Spectral Theory
Scientific paper
2009-07-22
Mathematics
Spectral Theory
4 figures
Scientific paper
In this paper, we investigate condition numbers of eigenvalue problems of matrix polynomials with nonsingular leading coefficients, generalizing classical results of matrix perturbation theory. We provide a relation between the condition numbers of eigenvalues and the pseudospectral growth rate. We obtain that if a simple eigenvalue of a matrix polynomial is ill-conditioned in some respects, then it is close to be multiple, and we construct an upper bound for this distance (measured in the euclidean norm). We also derive a new expression for the condition number of a simple eigenvalue, which does not involve eigenvectors. Moreover, an Elsner-like perturbation bound for matrix polynomials is presented.
Papathanasiou Nikolaos
Psarrakos Panayiotis
No associations
LandOfFree
On condition numbers of polynomial eigenvalue problems with nonsingular leading coefficients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On condition numbers of polynomial eigenvalue problems with nonsingular leading coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On condition numbers of polynomial eigenvalue problems with nonsingular leading coefficients will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-128452