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Title:Moore-Penroseov matrični inverz
Authors:ID Koznicov, Karmen (Author)
ID Benkovič, Dominik (Mentor) More about this mentor... New window
Files:.pdf UN_Koznicov_Karmen_2016.pdf (237,92 KB)
MD5: D800AA07A5C9B0774B23729553D9E441
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V uvodu predstavimo posamezna poglavja diplomskega dela. V drugem poglavju podamo deÖnicije in opiöemo vrste matrik ter operacije, ki jih opravljamo na matrikah. DeÖniramo rang matrike, transponiranje in Gauss-Jordanovo eliminacijsko metodo, ki jo bomo potrebovali pri izraµcunu Moore-Penroseovega inverza. V tretjem poglavju predstavimo Moore-Penroseov inverz poljubne matrike in zapiöemo njegove lastnosti. Zadnje poglavje je namenjeno izraµcunu Moore-Penroseovega inverza. Predstavimo tri algoritme, s katerimi lahko izraµcunamo Moore-Penroseov inverz. Opiöemo njihovo raµcunsko zahtevnost in jih predstavimo na primeru.
Keywords:matrika, rang matrike, inverzna matrika, Gauss-Jordanova eliminacijska metoda, Moore-Penroseov inverz.
Place of publishing:Maribor
Publisher:[K. Koznicov]
Year of publishing:2016
PID:20.500.12556/DKUM-62221 New window
UDC:512.643:519.17(043.2)
COBISS.SI-ID:22583048 New window
NUK URN:URN:SI:UM:DK:YZ7FJU8O
Publication date in DKUM:27.09.2016
Views:1729
Downloads:142
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:Moore-penrose matrix inverse
Abstract:In the introduction each chapter of the graduation thesis is presented. In the second chapter we give deÖnitions and descriptions of the types of matrices and operations that are performed with them. We deÖne the rank of a matrix, the transpose of a matrix, and the Gauss-Jordan elimination method, which will be needed in the calculation of the Moore-Penrose inverse. In the third chapter we present the Moore-Penrose inverse of a matrix and its characteristics. The last chapter deals with the calculation of the Moore-Penrose inverse. We present three algorithms, which can be used to calculate the Moore-Penrose inverse. We describe their computational complexity and present them through examples.
Keywords:matrix, the rank of a matrix, inversion matrix, Gauss-Jordan elimination method, Moore-Penrose inverse


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