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Statements

Subject Item
n2:RIV%2F00216275%3A25410%2F13%3A39896044%21RIV14-MSM-25410___
rdf:type
skos:Concept n15:Vysledek
dcterms:description
Many mathematicins investigated in papers various types of integer matrices the entries of which satisfy a second order recurrence. Some of the authors used methods leading to obtain real or complex factorizations of the Fibonacci or the Lucas numbers. Civciv (2008) computed the determinant of a five-diagonal matrix with the Fibonacci numbers as its entries. His result is given more generally and completely in this paper. It is showed that the determinant of a matrix, the entries of which are the Gibonacci numbers, is related to the values of the Fibonacci polynomial. Calculations are done by using the eigenvalues of the given matrix. Many mathematicins investigated in papers various types of integer matrices the entries of which satisfy a second order recurrence. Some of the authors used methods leading to obtain real or complex factorizations of the Fibonacci or the Lucas numbers. Civciv (2008) computed the determinant of a five-diagonal matrix with the Fibonacci numbers as its entries. His result is given more generally and completely in this paper. It is showed that the determinant of a matrix, the entries of which are the Gibonacci numbers, is related to the values of the Fibonacci polynomial. Calculations are done by using the eigenvalues of the given matrix.
dcterms:title
The determinant of a special five-diagonal matrix and the Fibonacci polynomials The determinant of a special five-diagonal matrix and the Fibonacci polynomials
skos:prefLabel
The determinant of a special five-diagonal matrix and the Fibonacci polynomials The determinant of a special five-diagonal matrix and the Fibonacci polynomials
skos:notation
RIV/00216275:25410/13:39896044!RIV14-MSM-25410___
n15:predkladatel
n16:orjk%3A25410
n3:aktivita
n11:I
n3:aktivity
I
n3:cisloPeriodika
2
n3:dodaniDat
n10:2014
n3:domaciTvurceVysledku
n7:6938663
n3:druhVysledku
n14:J
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
68810
n3:idVysledku
RIV/00216275:25410/13:39896044
n3:jazykVysledku
n13:eng
n3:klicovaSlova
Fibonacci polynomial; eigenvalue; , five-diagonal matrix; determinan; generalized Fibonacci numbers
n3:klicoveSlovo
n6:determinan n6:five-diagonal%20matrix n6:Fibonacci%20polynomial n6:eigenvalue n6:%20 n6:generalized%20Fibonacci%20numbers
n3:kodStatuVydavatele
BG - Bulharská republika
n3:kontrolniKodProRIV
[D839978AB849]
n3:nazevZdroje
International Journal of Pure and Applied Mathematics
n3:obor
n12:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n10:2013
n3:svazekPeriodika
84
n3:tvurceVysledku
Seibert, Jaroslav
s:issn
1311-8080
s:numberOfPages
9
n18:organizacniJednotka
25410