Benefits from the generalized diagonal dominance
Prednosti generalizovane dijagonalne dominacije
dc.contributor.advisor | Cvetković, Ljiljana | |
dc.contributor.other | Stojaković, Zoran | |
dc.contributor.other | Varga, Richard | |
dc.contributor.other | Cvetković, Ljiljana | |
dc.creator | Kostić, Vladimir | |
dc.date.accessioned | 2021-02-25T14:52:53Z | |
dc.date.available | 2021-02-25T14:52:53Z | |
dc.date.issued | 2010-07-03 | |
dc.identifier.uri | https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159376962921726.pdf?controlNumber=(BISIS)73292&fileName=159376962921726.pdf&id=15946&source=NaRDuS&language=sr | sr |
dc.identifier.uri | https://www.cris.uns.ac.rs/record.jsf?recordId=73292&source=NaRDuS&language=sr | sr |
dc.identifier.uri | https://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije159377197683991.pdf?controlNumber=(BISIS)73292&fileName=159377197683991.pdf&id=15949&source=NaRDuS&language=sr | sr |
dc.identifier.uri | /DownloadFileServlet/IzvestajKomisije159377197683991.pdf?controlNumber=(BISIS)73292&fileName=159377197683991.pdf&id=15949 | |
dc.identifier.uri | https://nardus.mpn.gov.rs/handle/123456789/17904 | |
dc.description.abstract | This theses is dedicated to the study of generalized diagonal dominance and its 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. | en |
dc.description.abstract | Ova teza je posvećena izučavanju generalizovane dijagonalne dominacije i njenih brojnih prednosti. Osnovu čini poznati rezultat o regularnosti strogo dijagonalnih matrica, 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. | sr |
dc.language | en | |
dc.publisher | Универзитет у Новом Саду, Природно-математички факултет | sr |
dc.rights | openAccess | en |
dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | |
dc.source | Универзитет у Новом Саду | sr |
dc.subject | Applied Linear Algebra | en |
dc.subject | Diagonal Dominance | en |
dc.subject | H-matrices | en |
dc.subject | Nonsingularity of matrices | en |
dc.subject | Eigenvalues of matrices | en |
dc.subject | Geršgorins theorem | en |
dc.subject | Generalized Eigenvalues | en |
dc.title | Benefits from the generalized diagonal dominance | en |
dc.title.alternative | Prednosti generalizovane dijagonalne dominacije | sr |
dc.type | doctoralThesis | en |
dc.rights.license | BY-NC | |
dcterms.abstract | Цветковић, Љиљана; Варга, Рицхард; Стојаковић, Зоран; Цветковић, Љиљана; Костић, Владимир; | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/68531/Disertacija.pdf | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/68532/IzvestajKomisije.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_nardus_17904 |