6 citations · 13 across the 13 of their papers we have counts for
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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…
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…