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Title:
NENEGATIVNE MATRIKE
Authors:
ID
Križnik, Klavdija
(Author)
ID
Klep, Igor
(Mentor)
More about this mentor...
Files:
UNI_Kriznik_Klavdija_2011.pdf
(474,94 KB)
MD5: 6C2BE6E60E6D36D50ABA9E2286CE3D1B
PID:
20.500.12556/dkum/d0d1d886-8bed-42df-9680-7128e78c35be
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
Diplomsko delo je sestavljeno iz štirih poglavij. Prvo poglavje je namenjeno ponovitvi osnovnih pojmov matrik. V drugem poglavju so predstavljene nenegativne matrike s poudarkom na Perron-Frobeniusovem izreku, ki opisuje lastne vrednosti in lastne vektorje kvadratnih nenegativnih matrik. Kot poseben primer nenegativnih matrik so opisane stohastične matrike. V zadnjih dveh poglavjih pa predstavimo povezavo nenegativnih matrik z M-matrikami in posplošenimi permutacijskimi matrikami.
Keywords:
Nenegativne matrike
,
Perron-Frobeniusov izrek
,
stohastične matrike
,
M-matrike
,
posplošene permutacijske matrike
Place of publishing:
Maribor
Publisher:
[K. Križnik]
Year of publishing:
2011
PID:
20.500.12556/DKUM-19865
UDC:
51(043.2)
COBISS.SI-ID:
18621448
NUK URN:
URN:SI:UM:DK:AI11ZUNH
Publication date in DKUM:
15.09.2011
Views:
2626
Downloads:
278
Metadata:
Categories:
FNM
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Vancouver
:
KRIŽNIK, Klavdija, 2011,
NENEGATIVNE MATRIKE
[online]. Bachelor’s thesis. Maribor : K. Križnik. [Accessed 26 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=19865
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Secondary language
Language:
English
Title:
NONNEGATIVE MATRICES
Abstract:
The thesis includes four chapters. The first chapter serves as an overview of the basic phrases from the field of matrices. The second chapter introduces nonnegative matrices with an emphasis on the Perron-Frobenius theorem, which describes eigenvalues and eigenvectors of nonnegative square matrices. As a special example of nonnegative matrices the thesis also describes stohastic matrices. The last two chapters demonstrate the connection between nonnegative matrices and M-matrices as well as generalized permutation matrices.
Keywords:
Nonnegative matrices
,
Perron-Frobenius theorem
,
stochastic matrices
,
M-matrices
,
generalized permutation matrices
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