Yazar "Akbulak, Mehmet" seçeneğine göre listele

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    Eigenvalues and eigenvectors of a certain complex tridiagonal matrix family
    (Hacettepe Univ, Fac Sci, 2014) Oteles, Ahmet; Akbulak, Mehmet
    In this paper, we obtain the eigenvalues and eigenvectors of a certain complex tridiagonal matrix family in terms of the Chebyshev polynomials of the first kind.
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    Note on one type of matrix and Fibonacci numbers
    (2010) Yilmaz, Fatih; Kiyak, Humeyra; Gurses, Irem; Akbulak, Mehmet; Bozkurt, Durmus
    In this paper, we construct one type of symmetric matrix family whose powers are related with Fibonacci numbers. © 2010 Pushpa Publishing House.
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    On the connectivity properties and energy of Fibonomial graphs
    (Elsevier, 2014) Akbulak, Mehmet; Kale, Akin; Oteles, Ahmet
    We introduce a new type of graph called a Fibonomial graph, denoted G(n). Entries of the adjacency matrix of G depend on the well-known Fibonomial coefficients modulo 2. We investigate the connectivity properties, eigenvalues, and energy of G(n). We lastly obtain the sum of the Laplacian eigenvalues of G(n). (C) 2013 Elsevier B.V. All rights reserved.
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    On the sum of pell and jacobsthal numbers by matrix method
    (Iranian Mathematical Society, 2014) Akbulak, Mehmet; Öteleş, Ahmet
    In this paper, we define two n-square upper Hessenberg matrices one of which corresponds to the adjacency matrix of a directed pseudo graph. We investigate relations between permanents and determinants of these upper Hessenberg matrices, and sum formulas of the well-known Pell and Jacobsthal sequences. Finally, we present two Maple 13 procedures in order to calculate permanents of these upper Hessenberg matrices. © 2014 Iranian Mathematical Society.
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    Positive integer powers of certain complex tridiagonal matrices
    (Elsevier Science Inc, 2013) Oteles, Ahmet; Akbulak, Mehmet
    In this paper, we firstly present a general expression for the entries of the rth (r is an element of N) power of a certain n-square complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain a complex factorization formula for generalized Fibonacci-Pell numbers obeying also classical Fibonacci and Pell numbers. (C) 2013 Elsevier Inc. All rights reserved.
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    Positive Integer Powers of One Type of Complex Tridiagonal Matrix
    (Malaysian Mathematical Sciences Soc, 2014) Oteles, Ahmet; Akbulak, Mehmet
    In this paper, we firstly present a general expression for the entries of the rth (r is an element of N) power of a certain n-square complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations.
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    Positive integer powers of one type of complex tridiagonal matrix
    (School of Mathematical Sciences, 2014) Öteleş, Ahmet; Akbulak, Mehmet
    In this paper, we firstly present a general expression for the entries of the rth (r ? ?) power of a certain n-square complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations. © 2014, School of Mathematical Sciences. All rights reserved.
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    The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices
    (Elsevier Science Inc, 2013) Akbulak, Mehmet; da Fonseca, C. M.; Yilmaz, Fatih
    In this note we provide the general expression for the eigenvalues of a type of anti-tridiagonal matrices. (C) 2013 Elsevier Inc. All rights reserved.