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master's thesis
Asimptotski razvoji iterativnih sredina
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2017. urn:nbn:hr:168:705891
Meštrović, Stjepan
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

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Meštrović, S. (2017). Asimptotski razvoji iterativnih sredina (Master's thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:705891

Meštrović, Stjepan. "Asimptotski razvoji iterativnih sredina." Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2017. https://urn.nsk.hr/urn:nbn:hr:168:705891

Meštrović, Stjepan. "Asimptotski razvoji iterativnih sredina." Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2017. https://urn.nsk.hr/urn:nbn:hr:168:705891

Meštrović, S. (2017). 'Asimptotski razvoji iterativnih sredina', Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 30 November 2024, https://urn.nsk.hr/urn:nbn:hr:168:705891

Meštrović S. Asimptotski razvoji iterativnih sredina [Master's thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2017 [cited 2024 November 30] Available at: https://urn.nsk.hr/urn:nbn:hr:168:705891

S. Meštrović, "Asimptotski razvoji iterativnih sredina", Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:168:705891

Metadata
TitleAsimptotski razvoji iterativnih sredina
Title (english)Asymptotic Expansions of the Iterative Means
AuthorStjepan Meštrović
MentorTomislav Burić (mentor)
Committee memberTomislav Burić (predsjednik povjerenstva)
Committee memberNeven Elezović (član povjerenstva)
Committee memberIlko Brnetić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2017-02-20, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
Cilj ovog diplomskog rada je analiza i implementacija teorije i algoritama iz područja vezanih uz aritmetičko-geometrijsku sredinu, sredine općenito te asimptotske razvoje. Aritmetičko-geometrijska sredina je vrijedna zbog svojih primjena u numeričkoj matematici (izračun konstanti od posebnog značaja u velikoj preciznosti, a malom broju iteracija). Dodatno su obrađene teorijska podloga sredina, veza sa eliptičkim integralima te konvergencija aritmetičko-geometrijske sredine. Kao drugi dio rada obrađena je teorija modernih istraživanja na temu složenih sredina, u tu svrhu definirani su asimptotski razvoji i operacije nad njima te teorija iterativnih postupaka.
Abstract (english)
The purpose of this Master's thesis is analysis and implementation of the theory and algorithms from the field of arithmetic-geometric mean, general means and asymptotic expansions. Arithmetic-geometric mean is valuable for its applications in numerical mathematics (computation of special constants in great precision, in small number of iterations). Furthermore, the theoretical background of means, connection with elliptic integrals and convergency of the arithmetic-geometric mean were studied. As a second part of this thesis the theory behind modern research on the topic of compound means is studied, asymptotic expansions and operations over them are defined and used to generate the coefficients of the compound means.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:705891
Study programmeTitle: Computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra inženjer/inženjerka računarstva (magistar/magistra inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
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Created on2019-03-13 22:59:13