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A boundary point method to solve semidefinite programs
Povh, Janez, 1973- ; Rendl, Franz ; Wiegele, Angelika
V članku prikazujemo nov način reševanja semidefinitnih programov, ki temelji na okrepljeni Lagrangeovi metodi. Izkaže se, da s to metodo dobivamo približke za optimalno rešitev, ki ležijo na robu ...stožca pozitivno semidefinitnih matrik in se bližajo affinemu linearnemu podprostoru, ki ga definirajo linearne enačbe iz semidefinitnega programa. V članku predstavimo nekaj računskih rezultatov, dobljenih s to metodo, ki med drugim pokažejo, da lahko s to metodo natančno izračunamo theta funkcijo za grafe takih velikosti, pri katerih ostale metode odpovedo.
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