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master's thesis
Konveksnost i optimizacija
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:406951
Slišković, Marijana
University of Zagreb
Faculty of Science
Department of Mathematics
University of Zagreb
Faculty of Science
Department of Physics

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Slišković, M. (2017). Konveksnost i optimizacija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science; Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:406951

Slišković, Marijana. "Konveksnost i optimizacija." Master's thesis, University of Zagreb, Faculty of Science; University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:406951

Slišković, Marijana. "Konveksnost i optimizacija." Master's thesis, University of Zagreb, Faculty of Science; University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:406951

Slišković, M. (2017). 'Konveksnost i optimizacija', Master's thesis, University of Zagreb, Faculty of Science; University of Zagreb, Faculty of Science, accessed 24 April 2024, https://urn.nsk.hr/urn:nbn:hr:217:406951

Slišković M. Konveksnost i optimizacija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 April 24] Available at: https://urn.nsk.hr/urn:nbn:hr:217:406951

M. Slišković, "Konveksnost i optimizacija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb; University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:406951

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Metadata
TitleKonveksnost i optimizacija
AuthorMarijana Slišković
MentorMarko Vrdoljak (mentor)
Committee memberMarko Vrdoljak (predsjednik povjerenstva)
Committee memberMatija Kazalicki (član povjerenstva)
Committee memberPetar Žugec (član povjerenstva)
Committee memberTomislav Marketin (član povjerenstva)
Committee memberVedran Čačić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2017-03-03, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu u prvom poglavlju smo definirali konveksni skup te promatrali osnovna geometrijska svojstva konveknih skupova te konveksne funkcije. U drugom poglavlju definirali smo konveksnu ljusku te dokazali Carathéodoryjev teorem. U zadnjem poglavlju diplomskog rada proučavali smo linearnu i nelinearnu optimizaciju. Opisali smo osnovne metode jednodimenzionalne minimizacije. Na kraju poglavlja smo obradili dualnost u linearnoj optimizaciji.
Abstract (english)
In this thesis in the first chapter, we define convex sets and we introduce basic geometric properties of convex sets and convex functions. In the second chapter we define the convex hull and prove Carathéodory theorem. In the last chapter we study linear and nonlinear optimization. We describe one-dimensional methods of minimization. On the end of the chapter, we study some duality results in linear optimization.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:406951
Study programmeTitle: Mathematics and Physics Education; specializations in: Mathematics and Physics Education
Course: Mathematics and Physics Education
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i fizike (magistar/magistra edukacije matematike i fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of the Faculty of Science
Created on2017-04-27 13:12:15

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