20.500.12556/DKUM-19865 NENEGATIVNE MATRIKE NONNEGATIVE MATRICES Diplomsko delo je sestavljeno iz štirih poglavij. Prvo poglavje je namenjeno ponovitvi osnovnih pojmov matrik. V drugem poglavju so predstavljene nenegativne matrike s poudarkom na Perron-Frobeniusovem izreku, ki opisuje lastne vrednosti in lastne vektorje kvadratnih nenegativnih matrik. Kot poseben primer nenegativnih matrik so opisane stohastične matrike. V zadnjih dveh poglavjih pa predstavimo povezavo nenegativnih matrik z M-matrikami in posplošenimi permutacijskimi matrikami. The thesis includes four chapters. The first chapter serves as an overview of the basic phrases from the field of matrices. The second chapter introduces nonnegative matrices with an emphasis on the Perron-Frobenius theorem, which describes eigenvalues and eigenvectors of nonnegative square matrices. As a special example of nonnegative matrices the thesis also describes stohastic matrices. The last two chapters demonstrate the connection between nonnegative matrices and M-matrices as well as generalized permutation matrices. Nenegativne matrike Perron-Frobeniusov izrek stohastične matrike M-matrike posplošene permutacijske matrike Nonnegative matrices Perron-Frobenius theorem stochastic matrices M-matrices generalized permutation matrices true true false [K. Križnik] Slovenski jezik Angleški jezik Diplomsko delo 2011-09-01 10:29:18 2011-09-15 13:51:37 2022-04-13 15:43:15 2023-12-26 03:22:18 2011 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 18621448 URN:SI:UM:DK:AI11ZUNH UNI_Kriznik_Klavdija_2011.pdf UNI_Kriznik_Klavdija_2011.pdf 1 6C2BE6E60E6D36D50ABA9E2286CE3D1B 6f368a35006aa5b4aef77afc80f496efca45ab8bf164fa67f3a76bc2a5670f0a 7b31ef0f-7c05-11eb-bb7a-00155d0001ca 20.500.12556/dkum/d0d1d886-8bed-42df-9680-7128e78c35be https://dk.um.si/Dokument.php?lang=slv&id=24276 Fakulteta za naravoslovje in matematiko 0 0 0