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undergraduate thesis
Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi
2024. urn:nbn:hr:190:384074
Dizdarević, Raoul
University of Rijeka
Faculty of Engineering

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Dizdarević, R. (2024). Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:384074

Dizdarević, Raoul. "Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2024. https://urn.nsk.hr/urn:nbn:hr:190:384074

Dizdarević, Raoul. "Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2024. https://urn.nsk.hr/urn:nbn:hr:190:384074

Dizdarević, R. (2024). 'Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 20 October 2024, https://urn.nsk.hr/urn:nbn:hr:190:384074

Dizdarević R. Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2024 [cited 2024 October 20] Available at: https://urn.nsk.hr/urn:nbn:hr:190:384074

R. Dizdarević, "Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:190:384074

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Metadata
TitleGauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi
Title (english)Gauss-Seidel method for numerical solving of linear systems
AuthorRaoul Dizdarević
MentorIvan Dražić (mentor)
MentorAngela Bašić-Šiško (komentor)
Committee memberDubravko Franković (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
Rijeka
Defense date and country2024-09-12, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
U ovom završnom radu definiran je sustav linearnih jednadžbi i odgovarajući matrični zapis. Opisane su metode za rješavanje takvih sustava: direktne i iterativne metode. Direktne metode daju egzaktno rješenje u konačnom broju koraka i idealne su za rješavanje sustava malih i srednjih veličina. Iterativne metode se koriste kada direktne metode nisu dovoljno efikasne. Idealne su za sustave s velikim brojem nepoznanica i daju aproksimirana rješenja, tj. rješenja s određenom pogreškom. Ovaj rad će najviše pažnje posvetiti Gauss-Seidelovoj metodi, uz pomoć koje će na kraju rada biti riješeno nekoliko primjera iz matematike i inženjerstva koristeći programski jezik Python.
Abstract (english)
In this thesis, a system of linear equations and the corresponding matrix notation are defined. Methods for solving such systems, both direct and iterative, are described. Direct methods provide an exact solution in a finite number of steps and are ideal for solving small to medium-sized systems. Iterative methods are used when direct methods are not sufficiently efficient. They are ideal for systems with a large number of unknowns and provide approximate solutions, i.e., solutions with a certain error margin. This thesis will focus primarily on the Gauss-Seidel method, which will be used at the end of the thesis to solve several examples from mathematics and engineering using the Python programming language.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:384074
Study programmeTitle: Undergraduate University Study of Electrical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2024-09-10 07:37:56