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Title:Hadamardov produkt
Authors:ID Sakelšek, Aleš (Author)
ID Grašič, Mateja (Mentor) More about this mentor... New window
Files:.pdf UNI_Sakelsek_Ales_2013.pdf (381,29 KB)
MD5: AE4711A52D8FF9B07058965AB9F91313
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Diplomska naloga obravnava manj znano obliko matričnega množenja - Hadamardov produkt matrik. V uvodnem poglavju spoznamo osnovne pojme s področja matrik, nekatere posebne oblike le teh s pripadajočimi lastnostmi ter definicije in izreke na temo definitnosti. Drugo poglavje predstavlja Hadamardov produkt ter pomembno lastnost le tega - Schurov izrek. V nadaljevanju poglavja so podane Oppenheimova in Hadamardova neenakost ter nekatere druge neenakosti povezane z omenjenim produktom ter dva posebna primera tega matričnega množenja.
Keywords:Hadamardov produkt, Schurov produkt, diagonalna matrika, simetrična matrika, pozitivno definitna matrika, semidefinitnost, singularna vrednost matrike, Hermitska matrika.
Place of publishing:Maribor
Publisher:[A. Sakelšek]
Year of publishing:2013
PID:20.500.12556/DKUM-43136 New window
UDC:512.64(043.2)
COBISS.SI-ID:20244232 New window
NUK URN:URN:SI:UM:DK:EKNG7MUU
Publication date in DKUM:08.01.2014
Views:2960
Downloads:218
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:Hadamard product
Abstract:Thesis deals with a less known form of matrix multiplication - Hadamard product of matrices. In the infirst chapter we introduce the definition and basic properties of matrices, certain specific forms of these and definitions and theorems about definiteness. The second chapter presents Hadamard product and an important result - Schur theorem. Later in this chapter inequalities of Oppenheim and Hadamard are given as well as some other inequalities associated with that product. We also present two special cases of matrix multiplication.
Keywords:Hadamard product, Schur product, diagonal matrices, symmetric matrices, positive definite matrices, semidefinite, singular value matrices, Hermitian matrices.


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