Szczegóły publikacji
Opis bibliograficzny
Sensitivity analysis of multiple eigenvalues and associated eigenvectors of quadratic eigenproblem / Henryk CIUREJ // Journal of Theoretical and Applied Mechanics ; ISSN 1429-2955 . — 2025 — vol. 63 iss. 4, s. 721–736. — Bibliogr. s. 735–736, Abstr. — Publikacja dostępna online od: 2025-09-22. — 31st Conference Vibrations in Physical and Technical Systems : VIBSYS : Poznań, Poland, October 16–18, 2024
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 164601 |
|---|---|
| Data dodania do BaDAP | 2025-12-04 |
| Tekst źródłowy | URL |
| DOI | 10.15632/jtam-pl/203130 |
| Rok publikacji | 2025 |
| Typ publikacji | referat w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Journal of Theoretical and Applied Mechanics |
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.
