National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Teoretické otázky popisu chování krylovovských metod
Strnad, Otto ; Strakoš, Zdeněk (advisor) ; Zítko, Jan (referee)
The presented thesis is focused on the GMRES convergence analysis. The basic principles of CG, MINRES and GMRES are briefly explained. The thesis summarizes some known convergence results of these methods. The known characterizations of the matrices and the right hand sides gen- erating the same Krylov residual spaces are summarized. Connections and the differences between the different points of view on GMRES convergence analysis are shown. We expect that if the convergence curve of GMRES applied to the nonnormal matrix and the right hand side seems to be de- termined by the eigenvalues of the matrix then exists a matrix that is close to normal and has the same spectrum as the matrix and for the right hand side has the same GMRES convergence curve (We assume that the initial approximation 0 = 0). Several numerical experiments are done to examine this assumption. This thesis describes an unpublished result of Gérard Meu- rant which is the formula for the norm of the -th error of GMRES applied to the matrix and right hand side and its derivation. The upper estimate of the -th GMRES error is derived. This estimate is minimized via spectrum.
Phaseshift analysis
Strnad, Otto ; Horáček, Jiří (advisor) ; Čížek, Martin (referee)
Nazev prace; Fazova analyza Autor: Otto Strnad Katedra (ustav): tfstav teorcticke fyziky, Matematicko-fyzikalni fakulta, Univer- zita Karlova v Praze Vedoucf bakalafske prace: prof. RNDr. Jin Horacek, DrSc. e-mail vedouciho: Jiri.Horacek@mff.cuni.cz Abstrakt: V pfedlozene praci studujeme vlastnosti statisticke Fade aproximace (Fade typu III) a pouzfvame Fade aproximaci k vypoctu delky rozptylu, sfrky rezonance a k simulaci analyzy fazoveho posuvu pfi nerelativistickem rozptylu. Provedeni iterativni linearizovane metody vyvinute pro konstrukci Fade aproxi- mace typu III je detailne testovano na simulovanych datech odvozenych pomoci dvou modelovych funkci, Metoda vykazuje vehni ryclilou konvergenci. Metoda je pouzita k vypoctu delky rozptylu, pro nizkoenergeticky elasticky rozptyl elek- tronu na atomech helia, neonu a argonu aje porovnana s publikovanymi vyslcdky. Je vypo6'tana sifka rezonance pro nejnizsf S rezonance pro rozptyl e 4- He+ a po- rovnana s vysledky prezentovanymi v [1], Je provedena analyza fazoveho posuvu pomoci Fade aproximace typu III nerelativistickeho rozptylu na simulovanych datech. Pocftacovy kod vjazyku C realizujici aproximaci Fade III je prezentovan se svym strucnym u^ivatelskym rnanualem a specifikacf vstupu a vystupu. Klicova slova: Pade aproximace, delka rozptylu, ...

See also: similar author names
6 STRNAD, Ondřej
6 Strnad, Ondřej
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