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undergraduate thesis
Jacobijeva i Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi
2020. urn:nbn:hr:126:235509
Brzić, Lucija
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

Cite this document

Brzić, L. (2020). Jacobijeva i Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:235509

Brzić, Lucija. "Jacobijeva i Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:235509

Brzić, Lucija. "Jacobijeva i Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:235509

Brzić, L. (2020). 'Jacobijeva i Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 October 2024, https://urn.nsk.hr/urn:nbn:hr:126:235509

Brzić L. Jacobijeva i Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2020 [cited 2024 October 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:235509

L. Brzić, "Jacobijeva i Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:126:235509

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Metadata
TitleJacobijeva i Gauss-Seidelova metoda za rješavanje sustava linearnih jednadžbi
Title (english)Jacobi and Gauss-Seidel Method for Solving Linear Equations
AuthorLucija Brzić
MentorTomislav Marošević (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 country2020-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
Riješiti sustav linearnih jednadžbi Ax = b znači pronaći vektor \(x\in \mathbb{R}^{n}\) za zadanu matricu \(A\in \mathbb{R}^{n\times n}\) i zadani vektor \(b\in \mathbb{R}^{n}\) . Postoje dva pristupa rješavanju sustava linearnih jednadžbi, direktne i iterativne metode. Direktne metode služe za rješavanje manjih i jednostavnijih sustava, dok iterativne metode služe za sustave velikih dimenzija. U ovom završnom radu spomenut će se dvije klasične iterativne metode za rješavanje sustava linearnih jednadžbi, a to su Jacobijeva i Gauss-Seidelova metoda.Takoder bit će implementirani algoritmi u programskom jeziku MATLAB te prikazani načini rješavanja metoda preko primjera.
Abstract (english)
Solution of the system of linear equations Ax = b comes down to finding the vector \(x\in \mathbb{R}^{n}\) of the given matrix \(A\in \mathbb{R}^{n\times n}\) and given vector \(b\in \mathbb{R}^{n}\) . There are two approaches to solving the system of linear equations, direct methods and iterative methods. Direct methods are used for solving smaller and simpler systems, while iterative methods are used for more complicated systems. In this final work there will be discussion of two classic iterative methods for solving the system of linear equations, and they are Jacobi and Gauss-Seidel method. Furthermore, implementations of algorithms will be shown in programming language MATLAB together with examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:235509
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 on2020-10-23 06:56:33