PERTURBATION OF THE EIGENVALUES OF QUADRATIC MATRIX POLYNOMIALS

LANGER, H and NAJMAN, B and VESELIC, K (1992) PERTURBATION OF THE EIGENVALUES OF QUADRATIC MATRIX POLYNOMIALS. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 13 (2). pp. 474-489. ISSN 0895-4798,

Full text not available from this repository.

Abstract

Perturbation properties of a quadratic matrix pencil containing a "small" parameter are considered. Main results concern the splitting properties of multiple eigenvalues and the corresponding Puiseux expansions. For hermitian pencils it is proved that the Puiseux expansion generates groups of eigenvalues ordered according to the partial algebraic multiplicities of the unperturbed eigenvalue.

Item Type: Article
Uncontrolled Keywords: ; EIGENVALUES; QUADRATIC MATRIX PENCILS; PERTURBATION THEORY
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:44
URI: https://pred.uni-regensburg.de/id/eprint/54596

Actions (login required)

View Item View Item