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master's thesis
Parametarska redukcija reda modela koristeći IRKA algoritam
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. urn:nbn:hr:126:582003
Vidaković, Antonio
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Vidaković, A. (2022). Parametarska redukcija reda modela koristeći IRKA algoritam (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:582003

Vidaković, Antonio. "Parametarska redukcija reda modela koristeći IRKA algoritam." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:582003

Vidaković, Antonio. "Parametarska redukcija reda modela koristeći IRKA algoritam." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:582003

Vidaković, A. (2022). 'Parametarska redukcija reda modela koristeći IRKA algoritam', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 12 July 2024, https://urn.nsk.hr/urn:nbn:hr:126:582003

Vidaković A. Parametarska redukcija reda modela koristeći IRKA algoritam [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 July 12] Available at: https://urn.nsk.hr/urn:nbn:hr:126:582003

A. Vidaković, "Parametarska redukcija reda modela koristeći IRKA algoritam", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:582003

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Metadata
TitleParametarska redukcija reda modela koristeći IRKA algoritam
Title (english)Parametric Model Order Reduction Using IRKA Algorithm
AuthorAntonio Vidaković
MentorZoran Tomljanović (mentor)
Committee memberDomagoj Matijević (predsjednik povjerenstva)
Committee memberZoran Tomljanović (član povjerenstva)
Committee memberIvana Kuzmanović Ivičić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-10-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu objasniti ćemo parametarske vremenski invarijantne (LTI) sustave, svojstva LTI i parametarskih LTI modela sustava. Uvest ćemo pojam redukcije sustava, svojstva redukcije dimenzije sustava, te računanje pogreške između originalnog i reduciranog sistema. Objasniti ćemo interpolacijske projekcije za reduciranje sustava i iterativni racionalni Krylov algoritam (IRKA) te primjenu istog na redukciju LTI i parametarskih LTI sustave, te ćemo na numeričkim primjerima ilustrirati efikasnost numeričkih metoda.
Abstract (english)
In this work we will explain parametric linear time invariant (LTI) systems and properties of LTI and parametric LTI systems. We will introduce the term of reduction of system dimensions, its properties, and calculating the errors between the original and reduced system. We will explain interpolatory projection methods for system reduction and iterative rational Krylov algorithm (IRKA) and its application on LTI and parametric LTI systems, and we will illustrate the efficiency of numerical methods on numerical examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:582003
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of School of Applied Mathematics and Computer Science
Created on2022-10-28 10:37:16