<p>Predmet istraživanja u doktorskoj disertaciji je metoda za konstrukciju<br />lokalizacionih skupova za spektar i pseudospektar nelinearnih problema<br />karakterističnih korena bazirana na Geršgorinovoj teoremi i njenim<br />generalizacijama koja koristi osobine poznatih podklasa H-matrica.<br />Navedena tvrđenja i primeri rasvetljavaju odnose između navedenih<br />lokalizacionih skupova, što je posebno značajno za primenu u praksi.<br />Sadržaj ovog rada time predstavlja polaznu tačku za dublja istraživanja na<br />temu konstrukcije lokalizacionih skupova za spektar i pseudospektar<br />nelinearnih problema karakterističnih korena Geršgorinovog tipa.</p> / <p>The subject of research in the doctoral dissertation is a method for constructing<br />spectra and pseudospectra localization sets for nonlinear eigenvalue problems<br />based on Geršgorin theorem and its generalizations, that uses the properties of<br />well-known subclasses of H-matrices. Theorems and examples given in this<br />paper are showing relations between stated localization sets, which is very<br />important for practical applications. Therefore, the content of this paper represent<br />the starting point for deeper explorations on the subject of constructing spectra<br />and pseudospectra localization sets for Geršgorin type nonlinear eigenvalue<br />problems.</p>
| Identifer | oai:union.ndltd.org:uns.ac.rs/oai:CRISUNS:(BISIS)108416 |
| Date | 21 February 2019 |
| Creators | Gardašević Dragana |
| Contributors | Kostić Vladimir, Cvetković Ljiljana, Kukić Katarina, Doroslovački Ksenija, Nedović Maja |
| Publisher | Univerzitet u Novom Sadu, Fakultet tehničkih nauka u Novom Sadu, University of Novi Sad, Faculty of Technical Sciences at Novi Sad |
| Source Sets | University of Novi Sad |
| Language | Serbian |
| Detected Language | Unknown |
| Type | PhD thesis |
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