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Design, implementation and testing of a primal-dual interior point method for solving linear programs
Barle, Janez ; Grad, Janez, 1933-
V sestavku je opisana naša implementacija primarno-dualne metode notranje točke za reševanje linearnih programov. Obravnavane so ekonomične podatkovne strukture, učinkoviti načini za izvajanje ...nekaterih operacij z razpršenimi matrikami, razpršeni razcep po Choleskem, metode za delo z gostimi stolpci ter primerjave z metodo simpleksov. Izčrpni rezultati numeričnega testiranja kažejo tako učinkovitost razvitih algoritmov, kot tudi nekatere probleme, ki jih je treba še razrešiti. Opisana je tudi vloga reševanja z metodami notranje točke v splošnem kontekstu modeliranja in reševanja velikih problemov matematičnega programiranja.
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