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undergraduate thesis
Quasi - Newtonove metode
2016. urn:nbn:hr:126:223297
Milinčević, Milan
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

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Milinčević, M. (2016). Quasi - Newtonove metode (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:223297

Milinčević, Milan. "Quasi - Newtonove metode." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:223297

Milinčević, Milan. "Quasi - Newtonove metode." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:223297

Milinčević, M. (2016). 'Quasi - Newtonove metode', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 28 October 2024, https://urn.nsk.hr/urn:nbn:hr:126:223297

Milinčević M. Quasi - Newtonove metode [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2024 October 28] Available at: https://urn.nsk.hr/urn:nbn:hr:126:223297

M. Milinčević, "Quasi - Newtonove metode", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:223297

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Metadata
TitleQuasi - Newtonove metode
Title (english)Quasi - Newton Methods
AuthorMilan Milinčević
MentorKristian Sabo (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2016-09-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
U ovom radu ćemo se baviti rješavanjem jednadžbe f(x) = 0 pomoću Newtonove metode tangente te metode sekante, kada nam je funkcija f:\mathbb{R}\rightarrow \mathbb{R}. Za višedimenzionalni problem problem koristit ćemo Newtonovu metodu. Zbog numeričke nestabilnosti Newtonove metode, za višedimenzionalni problem ćemo također koristiti jednu od najpoznatijih tzv. Quasi-Newtonovih metoda, Broydenovu metodu. Objema metodama ćemo rješiti isti primjer te ćemo vidjeti prednosti i nedostatke svake od njih. Reći ćemo nešto još i o dvjema najpoznatijim optimizacijskim Quasi-Newton metodama; Broyden-Fletcher-Goldfarb-Shanno te Davidon-Fletcher-Powell metodi. Pomoću njih ćemo tražiti minimum funkcije f:\mathbb{R}^{n}\rightarrow \mathbb{R}.
Abstract (english)
In this work we will be interested in solving equation f(x) = 0 using Newton’s tangent method and secant method, when we have function f:\mathbb{R}\rightarrow \mathbb{R}. For multidimensional problem we will use Newton’s method. Because of numerical instability of Newton’s method, for multidimensional problem we shall also use one of the best known so-called Quasi-Newton’s method, the Broyden’s method. We will solve the same example with both methods and compare adventages and disadvantages each of them. We shall say something about two best known optimization Quazi-Newton’s methods; BroydenFletcher-Goldfarb-Shanno and Davidon-Fletcher-Powell method. Using them, we will try to minimize function f:\mathbb{R}^{n}\rightarrow \mathbb{R}.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:223297
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2016-09-23 05:52:35