6 citations · 13 across the 13 of their papers we have counts for
14 papers
Integer Powers of Certain Complex (2k+1)-diagonal Toeplitz Matrices
H. Kübra Duru, Durmuş Bozkurt
In this paper, we obtain a general expression for the entries of the lth (l is integer) powers of even order (2k+1)-diagonal Toeplitz matrices. Additionally, we have the complex fa…
Note on the Sum of Powers of Signless Laplacian Eigenvalues of Graphs
Ş. Burcu Bozkurt Altındağ, Durmuş Bozkurt
For a simple graph and a real number the graph invariant is equal to the sum of powers of signless Laplacian eigenvalues of $…
Integer Powers of Complex Tridiagonal and Anti-Tridiagonal Matrices
Hatice Kübra Duru, Durmuş Bozkurt
In this paper, we derive the general expression of the r-th power for some n-square complex tridiagonal matrices. Additionally, we obtain the complex factorizations of Fibonacci po…
Integer powers of complex anti-tridiagonal matrices and some complex factorizations
Durmuş Bozkurt, H. Kübra Duru
In this paper, we obtain a general expression for the entries of the rth power of a certain n-square complex anti-tridiagonal matrix where if n is odd, r is integer or if n is even…
Integer powers of certain complex tridiagonal matrices and some complex factorizations
Durmuş Bozkurt, Şerife Burcu Bozkurt
In this paper, we obtain a general expression for the entries of the r. (r is integer) power of a certain n-square complex tridiagonal matrix. In addition, we get the complex facto…
Positive Integer Powers OF Symmetric(0,1)-Heptadiagonal Matrix
Murat Gubes, Durmus Bozkurt
In this paper, we derive a general expression for mth powers of symmetric(0,1)-heptadiagonal matrices with n = 3k order,k = 1,2,3,...,n/3).
On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices
Fatih Yilmaz, Durmus Bozkurt
At this paper, we derive some relationships between permanents of one type of lower-Hessenberg matrix and the Fibonacci and Lucas numbers and their sums.
Bounds For The Distance Estrada Index Of Graphs
Ş. Burcu Bozkurt, Durmuş Bozkurt
The D-eigenvalues μ_1,μ_2,...,μ_{n} of a connected graph G are the eigenvalues of its distance matrix. The distance Estrada index of G is defined in [15] as DEE=DEE(G)=Σ_{i=1}^n e^…
The adjacency matrix of one type of graph and the Fibonacci numbers
Fatih Yılmaz, Şerife Burcu Bozkurt, Durmuş Bozkurt
Recently there is huge interest in graph theory and intensive study on computing integer powers of matrices. In this paper, we investigate relationships between one type of graph a…
On the Determinants and Inverses of Circulant Matrices with a General Number Sequence
Durmuş Bozkurt
The generalized sequence of numbers is defined by W_{n}=pW_{n-1}+qW_{n-2} with initial conditions W_{0}=a and W_{1}=b for a,b,p,q\inZ and n\geq2, respectively. Let W_{n}=circ(W_{1}…
On the Determinants and Inverses of Circulant Matrices with Pell and Pell-Lucas Numbers
Durmuş Bozkurt, Fatih Yılmaz
Let P=\circ(P_{1},P_{2},...,P_{n}) and Q=\circ(Q_{1},Q_{2},...,Q_{n}) be n\timesn circulant matrices where P_{n} and Q_{n} are nth Pell and Pell-Lucas numbers, respectively. The de…
Determinants and Inverses of Circulant Matrices with Jacobsthal and Jacobsthal-Lucas Numbers
Durmuş Bozkurt, Tin-Yau Tam
Let n\geq3 and J_{n}:=circ(J_{1},J_{2},...,J_{n}) and j_{n}:=\circ(j_{0},j_{1},...,j_{n-1}) be the n\timesn circulant matrices, associated with the nth Jacobsthal number J_{n} and…
Another proof of Pell identities by using the determinant of tridiagonal matrix
Meral Yaşar, Durmuş Bozkurt
In this paper, another proof of Pell identities is presented by using the determinant of tridiagonal matrices. It is calculated via the Laplace expansion.
An Inversion Algorithm for Cyclic Nonadiagonal Matrix
Meral Yaşar, Durmuş Bozkurt
In this paper, we compose a computational algorithm for the determinant and the inverse of the n x n cyclic nonadiagonal matrix. The algorithm is suited for implementation using co…