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Semidefinitno programiranje in kombinatorična optimizacija : magistrsko deloPovh, Janez, 1973-Pri semidefinitnem programiranju iščemo optimum linearne funkcije na konveksni množici, sestavljeni iz pozitivno semidefinitnih matrik, katerih elementi zadoščajo dodatnim linearnim pogojem. Za te ... probleme je mogoče izpeljati bogato (čeprav ne tako kot pri linearnem programiranju) dualno teorijo, kar je jedro prvega poglavja. Ob nekaterih (ne preveč omejujočih) dodatnih predpostavkah je mogoče dokazati, da elipsoudna metoda reši problem demidefinitnega programiranja v polinomskem času. V praksi se od elipsoidne metode mnogo boljše obnesejo metode notranjih točk. V delu so natančneje predstavljene primarno-dualne metode, ki sledijo središčni poti. Semidefinitno programiranje omogoča (približno) reševanje mnogih (tudi NP-težkih) problemov. V zadnjih dveh poglavjih sta predstavljena algoritma za približno barvanje grafa in računanje pasovnosti grafa.Type of material - master's thesis ; adult, seriousPublication and manufacture - Ljubljana : [J. Povh], 2002Language - slovenianCOBISS.SI-ID - 11479385
Author
Povh, Janez, 1973-
Other authors
Juvan, Martin |
Mohar, Bojan, 1956-
Topics
matematika |
semidefinitno programiranje |
elipsoidna metoda |
metode notranjih točk |
aproksimacijski algoritem |
pasovnost grafa |
mathematics |
semidefinite programming |
elipsoid method |
interior-point methods |
approximation algorithm |
bandwidth
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Povh, Janez, 1973- | 22649 |
Juvan, Martin | 11220 |
Mohar, Bojan, 1956- | 01931 |
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