O numeričnem reševanju algebraičnega večparametričnega problema : magistrsko delo

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O numeričnem reševanju algebraičnega večparametričnega problema : magistrsko delo

Plestenjak, Bor

Magistrsko delo obravnava numerično reševanje algebraičnega večparametričnega problema lastnih vrednosti. Najprej je obdelana teorija večparametričnega problema v tenzorskem produktu prostorov in ... predstavljene so tudi razne ekvivalentne definicije tega problema. Podrobno je obdelan pojem nederogatorne lastne vrednosti in baze ustreznega korenskega podprostora. Opisan je tudi Koširjev algoritem za konstrukcijo take baze. V delu je temeljito obdelana numerična realizacija Koširjevega algoritma, navedene so težave, ki nastopajo zaradi končne aritmetike in odpravo le-teh na osnovi ustrezne perturbacijske analize. Numerični primeri ilustrirajo praktični potek in uspešnost tega algoritma. Poudarek je na čimboljši oceni za prekinitev postopka. Na koncu so v pregledni obliki predstavljene najpomembnejše znane numerične metode za reševanje algebraičnega večparameterskega problema. Navedeni so tudi večparametrski problemi s področja diferencialnih in integralskih enačb, ki jih lahko rešujemo s prevedbo na algebraični primer.

Type of material - master's thesis

Publication and manufacture - Ljubljana : [B. Plestenjak], 1997

Language - slovenian

COBISS.SI-ID - 7284313

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Library	Call number – location, accession no. ...	Copy status
FMF, Mathematical Library, Lj.	Skladišče-Jadranska 21 10941/80	available - reading room

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Plestenjak, Bor	15136
Bohte, Zvonimir	00158

Source: Personal bibliographies and: SICRIS

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