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Smithova normalna oblika matrike : diplomsko deloPukšič, AlešV diplomskem delu je predstavljena Smithova normalna oblika kvadratne matrike z elementi iz kolobarja polinomov. Za podano kvadratno matriko izračunamo njeno Smithovo normalno obliko z uporabo ... elementarnih vrstičnih in stolpičnih transformacij. Za Smithovo normalno obliko matrike je značilno, da je diagonalna matrika s toliko neničelnimi elementi na diagonali, kolikšen je rang matrike, pri tem so diagonalni elementi unitarni polinomi ter prvi diagonalni element deli drugega, drugi deli tretjega in tako naprej do zadnjega neničelnega elementa na diagonali. Smithova normalna oblika matrike nam lahko služi kot orodje za ugotavljanje podobnosti matrik z elementi iz polja.Type of material - undergraduate thesis ; adult, seriousPublication and manufacture - Maribor : [A. Pukšič], 2016Language - slovenianCOBISS.SI-ID - 22582792
Author
Pukšič, Aleš
Other authors
Grašič, Mateja, 1983-
Topics
Univerzitetna in visokošolska dela |
diplomska dela |
matrike |
polinomi |
deljivost |
ekvivalentne matrike |
podobne matrike |
Smithova normalna oblika matrike |
theses |
matrices |
polynominals |
divisibility |
equivalent matrices |
similar matrices |
Smith normal form of a matrix
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M DIPL 0000000051 PUKŠIČ A. Smithova IN: 920160137 M DIPL 51 PUKŠIČ A. Smithova IN: 920160137 |
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Database name | Field | Year |
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Pukšič, Aleš | ![]() |
Grašič, Mateja, 1983- | 29707 |
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