20.500.12556/DKUM-62221 Moore-Penroseov matrični inverz Moore-penrose matrix inverse 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. 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. matrika rang matrike inverzna matrika Gauss-Jordanova eliminacijska metoda Moore-Penroseov inverz. matrix the rank of a matrix inversion matrix Gauss-Jordan elimination method Moore-Penrose inverse true true false [K. Koznicov] Slovenski jezik Angleški jezik Diplomsko delo 2016-08-24 11:07:09 2016-09-27 16:09:08 2023-10-10 09:29:27 2019-07-11 12:47:58 2016 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.643:519.17(043.2) 22583048 URN:SI:UM:DK:YZ7FJU8O UN_Koznicov_Karmen_2016.pdf UN_Koznicov_Karmen_2016.pdf 1 D800AA07A5C9B0774B23729553D9E441 009491f9305b7a0bdb087af6798fab28ab534c856464f48548039a067d641d5e 19b92094-7c0d-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=99791 Fakulteta za naravoslovje in matematiko 0 0 0