Faktorizacija centrosimetričnih matrica

master's thesis

• Title (english): Factorization of centrosymmetric matrices
• Author: Antica Kučić
• Mentor: Sonja Žunar (mentor)
• Mentor: Goran Muić (sumentor)
• Committee member: Sonja Žunar (predsjednik povjerenstva)
• Committee member: Goran Muić (član povjerenstva)
• Committee member: Josip Tambača (član povjerenstva)
• Committee member: Igor Ciganović (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2021-09-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu proučavamo $QR$ −faktorizaciju centrosimetrične realne matrice $A$ u kojoj su realne matrice $Q$ i $R$ centrosimetrične. Ta se faktorizacija može dobiti primjenom preglednog algoritma koji koristi perplektičke ortogonalne blok-reflektore i koji je u ovom radu detaljno opisan i proveden na konkretnom primjeru.

Abstract (english)

In this thesis, we study a $QR$ −factorization of a centrosymmetric real matrix $A$ such that the real matrices $Q$ and $R$ are centrosymmetric. This factorization can be obtained by applying a refined algorithm which uses perplectic orthogonal block-reflectors and which is both described in detail and illustrated on a concrete example in this thesis.

• Keywords: realne matrice; pregledni algoritm; perplektički ortogonalni blok-reflektori
• Keywords (english): real matrices; refined algorithm; perplectic orthogonal block-reflectors
• Language: croatian
• URN:NBN: urn:nbn:hr:217:271295
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2021-10-28 12:03:36