| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document Help

Title:REŠEVANJE MATRIČNIH ENAČB
Authors:ID Markoč, Metka (Author)
ID Pagon, Dušan (Mentor) More about this mentor... New window
Files:.pdf UNI_Markoc_Metka_2010.pdf (406,64 KB)
MD5: 1E8A9A980D383F43277D6789C9FE8C33
PID: 20.500.12556/dkum/e1f5b825-bfc9-4340-afd4-c1e3a3e177a8
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Diplomsko delo obravnava reševanje linearnih matričnih enačb in zajema štiri poglavja. V prvem so definirani pojmi in osnovne lastnosti, s katerimi se operira v nadaljevanju. V drugem poglavju je govora o Kroneckerjevem produktu in Kroneckerjevi vsoti, dveh osnovnih operacijah, ki se uporabljata pri drugačni, velikokrat ugodnejši obliki zapisa matričnih enačb. V tretjem poglavju je opisano še eno pomembno orodje, uporabno pri reševanju matričnih enačb, to je Moore-Penroseov psevdoinverz. Zadnje poglavje je namenjeno predstavitvi relacij med danimi matrikami, ki zagotavljajo obstoj rešitev štirih obravnavanih tipov enačb. S preprostimi pogoji se torej pri vsakem posameznem tipu enačbe lahko nemudoma ugotovi, ali je rešitev enačbe sploh smiselno iskati, pri eni izmed enačb je podana tudi oblika rešitve.
Keywords:Kroneckerjev produkt, Kroneckerjeva vsota, matrična enačba, Moore-Penroseov psevdoinverz
Place of publishing:Maribor
Publisher:[M. Markoč]
Year of publishing:2010
PID:20.500.12556/DKUM-13957 New window
UDC:51(043.2)
COBISS.SI-ID:17689352 New window
NUK URN:URN:SI:UM:DK:1UQF4H9U
Publication date in DKUM:17.06.2010
Views:6121
Downloads:659
Metadata:XML DC-XML DC-RDF
Categories:FNM
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share



Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Secondary language

Language:English
Title:SOLVING MATRIX EQUATIONS
Abstract:The thesis deals with solving linear matrix equations and includes four chapters. In the first chapter terms and basic properties are defined, which are used in followed text. The second chapter refers to a Kronecker product and Kronecker sum. Those are two basic operations, which are used to give a convenient representation for linear matrix equations. In the third chapter another important tool, useful in solving matrix equations is described. This is the Moore-Penrose pseudoinverse. The final chapter deals with relations between coefficients of a linear matrix equation, which provide solutions for four concrete types of matrix equations. With simple conditions for each type of the concerned matrix equations we can efficiently check the existence of its solutions. For one of these types of equations the exact form of the solution is also described.
Keywords:Kronecker product, Kronecker sum, matrix equation, Moore-Penrose pseudoinverse


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica