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LU-razcep matrik : diplomsko deloJurgec, Anja, 1985-V prvem delu diplomskega dela smo opisali Gaussovo eliminacijo kot algoritem za reševanje sistema linearnih enačb, s pomočjo katerega dobimo spodnje trikotno matriko L in zgornje trikotno matriko U ... oziroma LU-razcep. Sledi poglavje o uporabi trikotnega razcepa LU pri reševanju linearnih enačb s primeri: če poznamo trikotni razcep v LU, lahko sistem linearnih enačb rešimo v dveh korakih; determinanta matrike A, katere LU poznamo, je enaka determinanti matrike U; reševanje matričnih enačb; izračun inverzne matrike. Zaradi nepopolnosti uporabe Gaussove eliminacije sta opisana tudi delno in kompletno pivotiranje. Ker je trikotni razcep LU zelo uporaben, so v zadnjem delu predstavljeni nujni in zadostni pogoji za obstoj le-tega v primeru poljubne matrike.Type of material - undergraduate thesis ; adult, seriousPublication and manufacture - Maribor : [A. Jurgec], 2009Language - slovenianCOBISS.SI-ID - 17178632
Author
Jurgec, Anja, 1985-
Other authors
Pagon, Dušan
Topics
Univerzitetna in visokošolska dela |
matematika |
matrike |
Gaussova eliminacija |
razcepi |
linearna algebra |
diplomska dela
Library/institution |
City | Acronym | For loan | Other holdings |
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Miklošič Library FPNM, Maribor | Maribor | PEFMB |
reading room 1 cop.
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Jurgec, Anja, 1985- | |
Pagon, Dušan | 04588 |
Source: Personal bibliographies
and: SICRIS
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