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Lokalizacije Geršgorinovog tipa za nelinearne probleme karakterističnih korena

Geršgorin-type localizations for Nonlinear Eigenvalue Problems

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2019
Disertacija19380.pdf (7.474Mb)
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Author
Gardašević, Dragana
Mentor
Kostić, Vladimir
Committee members
Cvetković, Ljiljana
Kukić, Katarina
Doroslovački, Ksenija
Nedović, Maja
Kostić, Vladimir
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Abstract
Predmet istraživanja u doktorskoj disertaciji je metoda za konstrukciju lokalizacionih skupova za spektar i pseudospektar nelinearnih problema karakterističnih korena bazirana na Geršgorinovoj teoremi i njenim generalizacijama koja koristi osobine poznatih podklasa H-matrica. Navedena tvrđenja i primeri rasvetljavaju odnose između navedenih lokalizacionih skupova, što je posebno značajno za primenu u praksi. Sadržaj ovog rada time predstavlja polaznu tačku za dublja istraživanja na temu konstrukcije lokalizacionih skupova za spektar i pseudospektar nelinearnih problema karakterističnih korena Geršgorinovog tipa.
The subject of research in the doctoral dissertation is a method for constructing spectra and pseudospectra localization sets for nonlinear eigenvalue problems based on Geršgorin theorem and its generalizations, that uses the properties of well-known subclasses of H-matrices. Theorems and examples given in this paper are showing relations between stated localization sets, which is very important for practical applications. Therefore, the content of this paper represent the starting point for deeper explorations on the subject of constructing spectra and pseudospectra localization sets for Geršgorin type nonlinear eigenvalue problems.
Faculty:
University of Novi Sad, Faculty of Technical Science
Date:
21-02-2019
Keywords:
Nelinearni problemi karakterističnih korena / Nonlinear eigenvalue problems / dijagonalna dominacija / Geršgorinov skup / lokalizacija / H-matrice / diagonal dominance / Geršgorin set / localization / H-matrices
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URI
http://nardus.mpn.gov.rs/handle/123456789/10762
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