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master's thesis
Schurov komplement
2018. urn:nbn:hr:217:152121
Mifka, Dora
University of Zagreb
Faculty of Science
Department of Mathematics

Cite this document

Mifka, D. (2018). Schurov komplement (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:152121

Mifka, Dora. "Schurov komplement." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:152121

Mifka, Dora. "Schurov komplement." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:152121

Mifka, D. (2018). 'Schurov komplement', Master's thesis, University of Zagreb, Faculty of Science, accessed 21 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:152121

Mifka D. Schurov komplement [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 November 21] Available at: https://urn.nsk.hr/urn:nbn:hr:217:152121

D. Mifka, "Schurov komplement", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:152121

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Metadata
TitleSchurov komplement
AuthorDora Mifka
MentorTomislav Berić (mentor)
Committee memberTomislav Berić (predsjednik povjerenstva)
Committee memberGoran Igaly (član povjerenstva)
Committee memberBoris Guljaš (član povjerenstva)
Committee memberBoris Širola (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu predstavili smo Schurov komplement kvadratne blok-matrice i njegove primjene kod determinante, inverza, sustava linearnih jednadžbi, ranga i inercije. Također smo i poopćili Schurov komplement na singularne i pravokutne blok-matrice te opet proučavali primjenu poopćenog Schurovog komplementa na gore navedena područja linearne algebre. Time smo dali pregled elementarnih pojmova linearne algebre u kontekstu Schurovog komplementa. Primjena Schurovog komplementa moguća je u područjima unutar i izvan okvira matematike pa je i danas aktualna i zanimljiva tema za istraživanje i primjene.
Abstract (english)
In this thesis we have presented Schur complement of a square matrix and its applications to determinants, inverse, system of linear equations, rank and inertia. Moreover, we have defined generalized Shur complement for singular and rectangular matrix and once again discussed its application on the above mentioned areas of Linear Algebra. In this way we gave an overview of elementary concepts of Linear algebra within the context of Schur complements. Schur complement can be used both within and outside of mathematics and they are still a popular and interesting area of research.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:152121
Study programmeTitle: Mathematics and Computer Science Education; specializations in: Mathematics and Computer Science Education
Course: Mathematics and Computer Science Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-06-07 11:40:25