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master's thesis
Primjena Quasi-Newtonovih metoda na rješavanje sustava nelinearnih jednadžbi
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. urn:nbn:hr:126:574832
Ćosić, Dunja
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

Institutional repository: Repository of School of Applied Mathematics and Computer Science

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Ćosić, D. (2021). Primjena Quasi-Newtonovih metoda na rješavanje sustava nelinearnih jednadžbi (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:574832

Ćosić, Dunja. "Primjena Quasi-Newtonovih metoda na rješavanje sustava nelinearnih jednadžbi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:574832

Ćosić, Dunja. "Primjena Quasi-Newtonovih metoda na rješavanje sustava nelinearnih jednadžbi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:574832

Ćosić, D. (2021). 'Primjena Quasi-Newtonovih metoda na rješavanje sustava nelinearnih jednadžbi', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 11 July 2024, https://urn.nsk.hr/urn:nbn:hr:126:574832

Ćosić D. Primjena Quasi-Newtonovih metoda na rješavanje sustava nelinearnih jednadžbi [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2024 July 11] Available at: https://urn.nsk.hr/urn:nbn:hr:126:574832

D. Ćosić, "Primjena Quasi-Newtonovih metoda na rješavanje sustava nelinearnih jednadžbi", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:574832

Metadata
TitlePrimjena Quasi-Newtonovih metoda na rješavanje sustava nelinearnih jednadžbi
Title (english)Application of Quasi-Newton Methods to Solving Systems of Nonlinear Equations
AuthorDunja Ćosić
MentorKristian Sabo (mentor)
Committee memberDarija Marković (predsjednik povjerenstva)
Committee memberKristian Sabo (član povjerenstva)
Committee memberSuzana Miodragović (član povjerenstva)
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 country2021-06-07, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
U ovome radu ukratko smo se upoznali s Newtonovom metodom tangente i metodom sekante za rješavanje nelinearnih jednadžbi. Za obje metode izveli smo pripadne formule te riješili primjere. Drugi dio rada bavi se rješavanjem sustava nelinearnih jednadžbi. U ovome dijelu prisjetili smo se nekih važnijih pojmova poput Jacobijeve matrice i regularne matrice te smo izveli Newtonovu metodu. Naveli smo osnovna svojstva ove metode te riješili pripadni primjer. U glavnom dijelu rada upoznali smo se s Quasi-Newtonovim metodama, naveli razlog njihova korištenja te izveli Broydenovu, Davidon-Fletcher-Powellovu i Broyden-FletcherGoldfarb-Schannovu metodu. Za svaku od ove tri metode naveli smo neka osnovna svojstva te riješili po jedan primjer.
Abstract (english)
In this paper we introduced to the Newton’s tangent method and secant method for solving nonlinear equations. For both methods we derived formulas and solved examples. Second part of paper refers to solving systems of nonlinear equations. In this part we remembered some important terms such as Jacobian matrix and regular matrix and we derived formula for Newton’s method. We gave a main properties of Newton’s method and solved one example. In the main part of paper we introduced to the Quasi-Newton’s methods, we gave the reason why we use them and derived formulas for Broyden, Davidon-Fletcher-Powell and BroydenFletcher-Goldfarb-Schanno method. For each of these three methods we gave some important properties and we solved examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:574832
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-06-08 07:01:03