| dc.contributor.advisor |
Petrović, Zoran |
|
| dc.contributor.author |
Radičić, Biljana |
|
| dc.date.accessioned |
2017-04-25T14:58:07Z |
|
| dc.date.available |
2017-04-25T14:58:07Z |
|
| dc.date.issued |
2016 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/4456 |
|
| dc.description.abstract |
In thisdissertation, k-circulantmatricesareconsidered,where k is an
arbitrary complexnumber.Themethodforobtainingtheinverseofanon-
singular k-circulantmatrix,foranarbitrary k ̸= 0, ispresented,andusing
that method,theinverseofanonsingular k-circulantmatrixwithgeometric
sequence (witharithmeticsequence)isobtained,foranarbitrary k ̸= 0 (for
k = 1). Usingthefullrankfactorizationofàmatrix,theMoore-Penrosein-
verseofasingular k-circulantmatrixwithgeometricsequence(witharithme-
tic sequence)isdetermined,foranarbitrary k (for k = 1). Foranarbitrary k,
the eigenvalues,thedeterminantandtheEuclideannormofa k-circulantma-
trix withgeometricsequencei.e.witharithmeticsequencearederived,and
boundsforthespectralnormofa k-circulantmatrixwithgeometricsequence
are determined.Also, k-circulantmatriceswiththe rstrow (F1; F2; :::;Fn)
i.e. (L1;L2; :::;Ln), where Fn i.e. Ln is the nth Fibonaccinumberi.e.Lucas
number,areinvestigatedandtheeigenvaluesandtheEuclideannormsof
suchmatricesareobtained.BoundsforthespectralnormsoftheHadamard
inversesoftheabovematrices,foranarbitrary k ̸= 0, arealsodetermined.
Attheendofthisdissertation,theeigenvalues,thedeterminantandbounds
for thespectralnormofa k-circulantmatrixwithbinomialcoe cientsare
derived,andboundsforthespectralnormoftheHadamardinverseofsuch
matrix, foranarbitrary k ̸= 0, aredetermined. |
en_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2017-04-25T14:58:07Z
No. of bitstreams: 1
Disertacija_Biljana_Radicic.pdf: 1609523 bytes, checksum: 7ad40910c1fcb554e8582cc631364151 (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2017-04-25T14:58:07Z (GMT). No. of bitstreams: 1
Disertacija_Biljana_Radicic.pdf: 1609523 bytes, checksum: 7ad40910c1fcb554e8582cc631364151 (MD5)
Previous issue date: 2016 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Beograd |
en_US |
| dc.title |
PRILOG TEORIJI K-CIRKULARNIH MATRICA |
en_US |
| mf.author.birth-date |
1979-10-05 |
|
| mf.author.birth-place |
Osijek |
en_US |
| mf.author.birth-country |
Hrvatska |
en_US |
| mf.author.residence-state |
Srbija |
en_US |
| mf.author.citizenship |
Srpsko |
en_US |
| mf.author.nationality |
Srpkinja |
en_US |
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
k-circulantmatrix,eigenvaluesofamatrix,inverseofamatrix, generalized inversesofamatrix,Hadamardinverseofamatrix,normsofa matrix, geometricandarithmeticsequence,FibonacciandLucasnumbers, binomial coffcients |
en_US |
| mf.subject.subarea |
Algebra |
en_US |
| mf.contributor.committee |
Lipkovski, Aleksandar |
|
| mf.contributor.committee |
Petrović, Zoran |
|
| mf.contributor.committee |
Malešević, Branko |
|
| mf.contributor.committee |
Đanković, Goran |
|
| mf.university.faculty |
Mathematical Faculty |
en_US |
| mf.document.references |
59 |
en_US |
| mf.document.pages |
128 |
en_US |
| mf.document.location |
Beograd |
en_US |
| mf.document.genealogy-project |
No |
en_US |
| mf.university |
Belgrade University |
en_US |