On characterization of being a generalized Fibonacci Q-matrix of linear combinations of two generalized Fibonacci Q-matrices

被引：0
作者：
Ondul, A. [1 ]
Demirkol, T. [1 ]
Ozdemir, H. [1 ]
机构：
[1] Sakarya Univ, Dept Math, TR-54187 Serdivan, Sakarya, Turkiye
来源：
AFRIKA MATEMATIKA | 2024年 / 35卷 / 01期
关键词：
Fibonacci numbers; Fibonacci Q-matrix; Generalized Fibonacci numbers; Linear combination; Matrix equations;
D O I：
10.1007/s13370-023-01140-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is given a characterization of being a matrix Q((k)) (g(a3,b3)) of linear combination of a matrix Q((n)) (g(a1 ,b1))and a matrix Q(g)((a2),b2))((m)), where a(i),b(i )is an element of R-& lowast;, i= 1, 2, 3, m,n,k is an element of Z, and Q((l)) (g(a,b)) denotes an (a, b)-generalized Fibonacci Q-matrix with l is an element of Z. In addition, some examples are presented illustrating the main result. Finally, some applications of the main result obtained are given.
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页数：8
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