On characterization of being a generalized Fibonacci Q-matrix of linear combinations of two generalized Fibonacci Q-matrices
It is given a characterization of being a matrix Q g ( a 3 , b 3 ) ( k ) of linear combination of a matrix Q g ( a 1 , b 1 ) ( n ) and a matrix Q g ( a 2 , b 2 ) ( m ) , where a i , b i ∈ R ∗ , i = 1 , 2 , 3 , m , n , k ∈ Z , and Q g ( a , b ) ( l ) denotes an ( a , b )-generalized Fibonacci Q -mat...
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| Veröffentlicht in: | Afrika mathematica 2024-03, Vol.35 (1), Article 7 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | It is given a characterization of being a matrix
Q
g
(
a
3
,
b
3
)
(
k
)
of linear combination of a matrix
Q
g
(
a
1
,
b
1
)
(
n
)
and a matrix
Q
g
(
a
2
,
b
2
)
(
m
)
, where
a
i
,
b
i
∈
R
∗
,
i
=
1
,
2
,
3
,
m
,
n
,
k
∈
Z
, and
Q
g
(
a
,
b
)
(
l
)
denotes an (
a
,
b
)-generalized Fibonacci
Q
-matrix with
l
∈
Z
. In addition, some examples are presented illustrating the main result. Finally, some applications of the main result obtained are given. |
|---|---|
| ISSN: | 1012-9405 2190-7668 |
| DOI: | 10.1007/s13370-023-01140-x |