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undergraduate thesis
Krylovljevi potprostori i primjene
2024. urn:nbn:hr:126:141679
Grbeš, Petra
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Grbeš, P. (2024). Krylovljevi potprostori i primjene (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:141679

Grbeš, Petra. "Krylovljevi potprostori i primjene." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:141679

Grbeš, Petra. "Krylovljevi potprostori i primjene." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:141679

Grbeš, P. (2024). 'Krylovljevi potprostori i primjene', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 11 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:141679

Grbeš P. Krylovljevi potprostori i primjene [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 11] Available at: https://urn.nsk.hr/urn:nbn:hr:126:141679

P. Grbeš, "Krylovljevi potprostori i primjene", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:141679

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Metadata
TitleKrylovljevi potprostori i primjene
Title (english)Krylov Subspaces And Applications
AuthorPetra Grbeš
MentorIvana Kuzmanović Ivičić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-04-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
U ovom radu proučavat ćemo Krylovljeve potprostore. Ovi potprostori imaju važnu primjenu u numeričkoj analizi, posebno za rješavanje sustava linearnih jednadžbi. Osim toga, koriste se i u drugim područjima, uključujući optimizaciju i teoriju kontrole. U radu će najprije biti dan pregled osnovnih pojmova iz linearne algebre koji su nužni za daljnje razumijevanje. Nakon toga, definirani su Krylovljevi potprostori i navedena njihova osnovna svojstva. Primjena Krylovljevih potprostora promatrana je na problemu rješavanja sustava linearnih jednadžbi, pri čemu su posebno promatrane metoda konjugiranih gradijenata i GMRES metoda.
Abstract (english)
In this paper we will study Krylov subspaces. These subspaces have important applications in numerical analysis, especially for solving systems of linear equations. In addition, they are used in other fields, including optimization and control theory. The paper will first give an overview of the basic terms from linear algebra that are necessary for further understanding. After that, Krylov subspaces are defined and their basic properties are stated. The application of Krylov subspaces was observed to the problem of solving a system of linear equations, where the method of conjugate gradients and the GMRES method were especially observed.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:141679
Study programmeTitle: University Bachelor of Mathematics (univ. bacc. math.)
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
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Created on2024-06-17 07:00:43