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Positive Definite Matrices
Jasna Okopni (2017)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Numerical Mathematics Research Group
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Okopni, J. (2017). Pozitivno definitne matrice (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:630581

Okopni, Jasna. "Pozitivno definitne matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:630581

Okopni, Jasna. "Pozitivno definitne matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:630581

Okopni, J. (2017). 'Pozitivno definitne matrice', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 16 June 2019, https://urn.nsk.hr/urn:nbn:hr:126:630581

Okopni J. Pozitivno definitne matrice [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2019 June 16] Available at: https://urn.nsk.hr/urn:nbn:hr:126:630581

J. Okopni, "Pozitivno definitne matrice", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:630581

Metadata
TitlePozitivno definitne matrice
Title (english)Positive Definite Matrices
AuthorJasna Okopni
MentorIvana Kuzmanović (mentor)
MentorMarija Miloloža Pandur (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Numerical Mathematics Research Group)
Osijek
Defense date and country2017-09-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
U radu ćemo se baviti posebnom vrstom hermitskih matrica zvanih pozitivno definitne matrice. Definirat ćemo pojmove i iskazati tvrdnje koje ćemo koristiti u daljnjem radu. Također ćemo iskazati i dokazati poznati Sylvesterov kriterij te važnu Cholesky dekompoziciju koja je učinkovita u numeričkim rješavanjima linearnih jednadžbi te ćemo pokazati koja posebna svojstva vrijede za pozitivno definitne matrice.
Abstract (english)
This paper will deal with the special type of Hermitian matrices, so called positive definite matrices. The terms and claims which are going to be used further in this paper will also be defined and stated. The well-known Sylvester’s criterion will be determined and proved as well as the important Cholesky decomposition, which is effective in numerical solving of linear equations. The special properties which are valid for positive definite matrices will also be shown.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:630581
Study programmeTitle: Matematika
Study programme type: sveučilišni
Study level: preddiplomski
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 usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2017-11-14 10:47:42