<p>This theses is dedicated to the study of generalized diagonal dominance and its<br />various beneflts. The starting point is the well known nonsingularity result of strictly diagonally dominant matrices, from which generalizations were formed in difierent directions. In theses, after a short overview of very well known results, special attention was turned to contemporary contributions, where overview of already published original material is given, together with new obtained results. Particulary, Ger•sgorin-type localization theory for matrix pencils is developed, and application of the results in wireless sensor networks optimization problems is shown.</p> / <p><span class="fontstyle0">Ova teza je posvećena izučavanju generalizovane dijagonalne dominacije i njenih brojnih prednosti. Osnovu čini poznati rezultat o regularnosti strogo dijagonalnih matrica,<br />čija su uopštenja formirana u brojnim pravcima. U tezi, nakon kratkog pregleda dobro poznatih rezultata, posebna pažnja je posvećena savremenim doprinosima, gde je dat i pregled već objavljenih autorovih rezultata, kao i detaljan tretman novih dobijenih rezultata. Posebno je razvijena teorija lokalizacije Geršgorinovog tipa generalizovanih karakterističnih korena i pokazana je primena rezultata u problemima optimizacije bežičnih senzor mreža.</span></p>
| Identifer | oai:union.ndltd.org:uns.ac.rs/oai:CRISUNS:(BISIS)73292 |
| Date | 03 July 2010 |
| Creators | Kostić Vladimir |
| Contributors | Cvetković Ljiljana, Stojaković Zoran, Varga Richard |
| Publisher | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, University of Novi Sad, Faculty of Sciences at Novi Sad |
| Source Sets | University of Novi Sad |
| Language | English |
| Detected Language | English |
| Type | PhD thesis |
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