Sensitivity analysis of multiple eigenvalues and associated eigenvectors of quadratic eigenproblem
Year: 2025
Type: article
Abstract: The article is focused on the sensitivity of eigenvalues and eigenvectors in a quadratic eigenvalue problem with real matrices defining the problem under consideration and under the strong assumption that these matrices form a non-defective operator.The particular interest is the case of multiple eigenvalues and associated eigenvectors.Generally in such a case derivatives in the Fréchet sense do not exist, but only in the Gâteaux sense.The formulas of the directional differential in the closed matrix form were derived.A numerical example is shown.
Author: Henryk Ciurej
Institution: AGH University of Krakow
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414402358
FWCI:
Cites:
Cited by:
Related to: