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undergraduate thesis
Gram-Schmidtov postupak ortogonalizacije u programskim jezicima Python i C++
2022. urn:nbn:hr:200:881236
Aščić, Tihomir
Josip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
Department of Core Courses
Chair of Mathematics, Physics and Mechanical Engineering

Cite this document

Aščić, T. (2022). Gram-Schmidtov postupak ortogonalizacije u programskim jezicima Python i C++ (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek. Retrieved from https://urn.nsk.hr/urn:nbn:hr:200:881236

Aščić, Tihomir. "Gram-Schmidtov postupak ortogonalizacije u programskim jezicima Python i C++." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2022. https://urn.nsk.hr/urn:nbn:hr:200:881236

Aščić, Tihomir. "Gram-Schmidtov postupak ortogonalizacije u programskim jezicima Python i C++." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2022. https://urn.nsk.hr/urn:nbn:hr:200:881236

Aščić, T. (2022). 'Gram-Schmidtov postupak ortogonalizacije u programskim jezicima Python i C++', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, accessed 18 November 2024, https://urn.nsk.hr/urn:nbn:hr:200:881236

Aščić T. Gram-Schmidtov postupak ortogonalizacije u programskim jezicima Python i C++ [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek; 2022 [cited 2024 November 18] Available at: https://urn.nsk.hr/urn:nbn:hr:200:881236

T. Aščić, "Gram-Schmidtov postupak ortogonalizacije u programskim jezicima Python i C++", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:200:881236

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Metadata
TitleGram-Schmidtov postupak ortogonalizacije u programskim jezicima Python i C++
Title (english)The Gram-Schmidt Orthogonalization Process in Python and C++
AuthorTihomir Aščić
MentorAnita Katić (mentor)
MentorAlfonzo Baumgartner (sumentor)
GranterJosip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
(Department of Core Courses)
(Chair of Mathematics, Physics and Mechanical Engineering)
Osijek
Defense date and country2022-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Data Processing
Abstract
U završnom radu teorijski i na primjerima je objašnjen Gram-Schmidtov postupak ortogonalizacije zadane baze vektorskog prostora. U prvom dijelu rada ukratko su objašnjene najbitnije definicije i poglavlja koja su važna za razumjeti prije postupka ortogonalizcije. Neke operacije koje su bile potrebne su računanje skalarnog produkta, determinante i projekcija vektora. Postupak je ostvaren u programskim jezicima Python i C++ koji su pisani u razvojnom okruženju Visual Studio Code. Kod je objašnjen uz rješavanje zadatka, počevši od unosa vektora, računanja skalarnog produkta, Gramove determinante i ortonormiranja. Računanje vrijednosti kao što su skalarni produkt i determinanta su nam olakšale funkcije iz importiranih biblioteka. Kodovi su zatim uspoređeni u područjima brzine i izgleda, gdje su dobiveni očekivani rezultati.
Abstract (english)
The goal of this bachelor's thesis was to explain the Gram-Schmidt orthogonalization process. In the first part of thesis, there were essential parts that had to be explained before explaining the orthogonalization process. Some parts and definitions that were needed were calculation of a scalar product, determinant and vector projection. The process was written in programming languages Python and C++ which were written in development environment Visual Studio Code. The code was explained with simultaniously solving the task, starting with entering a set of vectors, calculating a scalar product, Gram determinant and orthonormalization. Calculating a scalar product and a determinant were made easier by using functions from the imported libraries. Programs were compared in terms of speed and looks, where the expected results were shown.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:200:881236
Study programmeTitle: Undergraduate University Study Programme in Computer Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
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Created on2023-01-05 07:55:14