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undergraduate thesis
Simetričan svojstveni problem
2022. urn:nbn:hr:126:161290
Arbutina, Andrea
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Arbutina, A. (2022). Simetričan svojstveni problem (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:161290

Arbutina, Andrea. "Simetričan svojstveni problem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:161290

Arbutina, Andrea. "Simetričan svojstveni problem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:161290

Arbutina, A. (2022). 'Simetričan svojstveni problem', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 10 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:161290

Arbutina A. Simetričan svojstveni problem [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 December 10] Available at: https://urn.nsk.hr/urn:nbn:hr:126:161290

A. Arbutina, "Simetričan svojstveni problem", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:161290

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Metadata
TitleSimetričan svojstveni problem
Title (english)The Symetric Eigenvalue Problem
AuthorAndrea Arbutina
MentorSuzana Miodragović (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-09-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu ćemo se baviti simetričnim svojstvenim problemom. U uvodu ćemo navesti osnovne definicije vezane za svojstveni problem kao što su definicija svojstvene vrijednosti i vektora, karakteristični polinom i neke od njihovih karakteristika. Zatim ćemo definirati što znači da je matrica simetrična (hermitska) i ortogonalna (unitarna) te kada su sdvije matrice slične. U nastavku ćemo iskazati i dokazati Schurov teorem te navesti iterativne metode za rješavanje simetričnog problema, njihove algoritme te primjere.
Abstract (english)
In this paper, we will deal with the symmetric eigenvalue problem. In the introduction, we will state the basic definitions related to the eigenvalue problem, such as the definition of eigenvalue and vector, characteristic polynomial and some of their characteristics. Next, we will define what it means that a matrix is symmetric (Hermitian) and orthogonal (unitary) and when the two matrices are similar. In the following we will state and prove Schur’s theorem and list iterative methods for solving a symmetric problem, their algorithms and examples
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:161290
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 on2022-09-21 07:04:03