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undergraduate thesis
Svojstvene vrijednosti i njihova primjena u PageRanku
2021. urn:nbn:hr:126:229516
Božić, Tena
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Božić, T. (2021). Svojstvene vrijednosti i njihova primjena u PageRanku (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:229516

Božić, Tena. "Svojstvene vrijednosti i njihova primjena u PageRanku." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:229516

Božić, Tena. "Svojstvene vrijednosti i njihova primjena u PageRanku." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:229516

Božić, T. (2021). 'Svojstvene vrijednosti i njihova primjena u PageRanku', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 02 February 2025, https://urn.nsk.hr/urn:nbn:hr:126:229516

Božić T. Svojstvene vrijednosti i njihova primjena u PageRanku [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2025 February 02] Available at: https://urn.nsk.hr/urn:nbn:hr:126:229516

T. Božić, "Svojstvene vrijednosti i njihova primjena u PageRanku", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:229516

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Metadata
TitleSvojstvene vrijednosti i njihova primjena u PageRanku
Title (english)Sigen Values and Their Application in PageRank
AuthorTena Božić
MentorDarija Marković (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2021-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom završnom radu proučit ćemo svojstvene vrijednosti i algoritam za rangiranje stranica na Googleu. Završni rad započinje definicijom linearnog operatora te opisivanjem matričnog prikaza operatora. U prvom dijelu rada definirane su svojstvene vrijednosti te su navedeni bitni teoremi, korolari i propozicije. Također je definiran i minimalni polinom. U drugom dijelu ovog završnog rada dotaknut ćemo se teme PageRank. Opis algoritma započinje formulom sumiranja. U ovom dijelu je opisan postupak određivanja PageRank vektora pomoću svojstvenih vrijednosti.
Abstract (english)
In this bachelor thesis, we will study the eigenvalues and algorithm for ranking pages on Google. The bachelor thesis begins with the definition of the linear operator and the description of the matrix representation of the operator. In the first part of the paper, eigenvalues are defined and important theorems, corollas and propositions are given. The minimal polynomial is also defined. In the second part of this bachelor thesis, we will touch upon the subject of PageRank. The description of the algorithm begins with the summation formula. This section describes the procedure for determining PageRank vectors using eigenvalues.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:229516
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 on2021-10-05 09:38:57