20.500.12556/RUL-131378 Inverzni problem lastnih vrednosti za nenegativne matrike majhnih redov delo diplomskega seminarja The inverse eigenvalue problem for nonnegative matrix of smaller dimensions Delo obravnava inverzni problem lastnih vrednosti nenegativnih matrik manjših dimenzij. Nanaša se predvsem na članek A. M. Nazarija in Sherafata z naslovom On the inverse eigenvalue problem for nonegative matrices of order two to five. Obravnavamo problem do dimenzije 5x5 s trditvami in njihovimi dokazi, hkrati pa tudi sestavimo pravila oz. pogoje s katerimi pridemo do matrik večjih dimenzij in možnih začetkov trditev za te dimenzije. Z dokazi tudi pridemo do preprostih nastavkov, če želimo iz danih lastnih vrednosti, ki upoštevajo pogoje, priti takoj do nenegativne matrike. V dokazih matrike sestavimo s trditvijo o konstrukciji, ki je tudi razložena v delu. The work focuses on the inverse eigenvalue problem for nonnegative matrix of smaller dimensions with its main source being a research article by A. M. Nazari and F. Sherafat titled On the inverse eigenvalue problem for nonnegative matrices of order two to five. We study the problem of dimensions for up to 5x5 with corresponding thesis and proof. Simultaneously we also try to find conditions with which we can address problems of bigger dimensions and possible sources for claims for those dimensions. With proofs we also get matrix “models” if we want to quickly find the possible nonnegative solution for the given values. We create the matrix using the newer claim of construction, that is also explained. NIEP problem nenegativni problem lastnih vrednosti matrik konstrukcija nenegativnih matrik matrike manjših dimenzij spekter matrike pridružena matrika NIEP problem inverse eigenvalue problem for nonnegative matrix construction of nonnegative matrix matrix of smaller dimensions matrix spectrum companion matrix true false false Slovenski jezik Angleški jezik Delo diplomskega seminarja/zaključno seminarsko delo/naloga 2021-09-26 07:15:03 2021-09-26 07:15:41 2024-05-29 12:51:41 0000-00-00 00:00:00 2021 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512 121013 78735619 3498.pdf 3498.pdf 1 BBC809B72B2614855763E3B7413E6FBF 22e6c7e93fbcbdee201adb1d33830dae60ace0bf350e3cbbfa1da192bf14f619 86afc369-1e88-11ec-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=148692 Fakulteta za matematiko in fiziko 0 0 0