Numerični zaklad : magistrsko delo

(UM)

Numerični zaklad : magistrsko delo

Gajšek, Magdalena

V prvem poglavju zapišemo uvod magistrskega dela. V drugem poglavju so opisani osnovni pojmi iz teorije normiranih prostorov, linearnih preslikav in matrik. V glavnem delu formuliramo ... Toeplitz-Hausdorffov izrek, ki pravi, da je numerični zaklad konveksna množica. Zapišemo tudi izrek o spektralni inkluziji, ki pove, da spekter operatorja leži v numeričnem zakladu. Dokažemo lastnosti numeričnega zaklada povezanih s sebiadjungiranimi in normalnimi operatorji. Nato definiramo numerični radij, podamo njegov primer in osnovne rezultate. Posebej obravnavamo numerični zaklad operatorjev (matrik) na končno dimenzionalnih vektorskih prostorih in določimo množice, ki vsebujejo numerični zaklad. Zatem so izpeljane ocene numeričnih radijev 0-1 matrik. Na koncu zapišemo posplošitve numeričnega zaklada.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Maribor : [M. Gajšek], 2014

Language - slovenian

COBISS.SI-ID - 20926984

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Digital Library of the University of Maribor – DLUM

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Library	Call number – location, accession no. ...	Copy status
Miklošič Library FPNM, Maribor	D MAG 51 GAJŠEK M. Numerični IN: 920140091	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
Gajšek, Magdalena
Benkovič, Dominik	19551

Source: Personal bibliographies and: SICRIS

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