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https://open.uns.ac.rs/handle/123456789/28954| Title: | Generalized diagonal dominance for block matrices and possibilites of its application Generalizovana dijagonalna dominacija za blok matrice i mogućnosti njene primene |
Authors: | Doroslovački Ksenija | Keywords: | Applied Linear Algebra, Diagonal Dominance, H-matrices, Block matrices, Infinity normbounds for the inverse matrices, Localization of eigenvalues, spectral radius estimation;Primena linearne algebre, dijagonalna dominacija, H-matrice, blok matrice,ocena norme beskonačno za inverzne matrice, lokalizacija karakterističnihkorena, ocena spektralnog radijusa | Issue Date: | 6-May-2014 | Publisher: | Univerzitet u Novom Sadu, Fakultet tehničkih nauka u Novom Sadu University of Novi Sad, Faculty of Technical Sciences at Novi Sad |
Abstract: | <p>Ova doktorska disertacija izučava matrice zapisane u blok formi. Ona<br />sistematizuje postojeća i predstavlja nova tvrđenja o osobinama takvih matrica,<br />koja se baziraju na ideji generalizovane dijagonalne dominacije. Poznati<br />rezultati u tačkastom slučaju dobra su osnova za blok generalizacije, koje su<br />izvedene na dva različita načina, prvi zbog svoje jednostavnije primenljivosti,<br />a drugi zbog obuhvatanja šire klase matrica na koju se rezultati odnose.</p> <p>This thesis is related to matrices written in their block form. It systematizes known and<br />represents new knowledge about properties of such matrices, which is based on the idea<br />of generalized diagonal dominance. Known results in the point case serve as a good basis<br />for block generalization, which is done in two different ways, the first one because of its<br />simple usability, and the other for capturing wider class of matrices which are treated.</p> |
URI: | https://open.uns.ac.rs/handle/123456789/28954 |
| Appears in Collections: | FTN Teze/Theses |
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