Now showing items 1-6 of 6

    • A nonlinear generalization of the Filbert matrix and its Lucas analogue 

      Kılıç, Emrah; Arıkan, Talha (Taylor and Francis Ltd., 2019-01)
      In this paper, we present both a new generalization and an analogue of the Filbert matrix (Formula presented.) by the means of the Fibonacci and Lucas numbers whose indices are in nonlinear form (Formula presented.) for ...
    • The generalized Lilbert matrix 

      Kılıç, Emrah; Prodinger, Helmut (Springer, 2016-09)
      We introduce a generalized Lilbert [Lucas-Hilbert] matrix. Explicit formul' are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the ...
    • The generalized q-Pilbert matrix 

      Kılıç, Emrah; Prodinger, Helmut (De Gruyter Open Ltd, 2014-10)
      A generalized q-Pilbert matrix from[KILIC, E.-PRODINGER, H.: The q-Pilbert matrix, Int. J. Comput. Math. 89 (2012), 1370-1377] is further generalized, introducing one additional parameter. Explicit formul' are derived for ...
    • New asymmetric generalizations of the Filbert and Lilbert matrices 

      Kılıç, Emrah; Koparal, Sibel; Ömür, Neşe (Springer Netherlands, 2019-06)
      Two new asymmetric generalizations of the Filbert and Lilbert matrices constructed by the products of two Fibonacci and Lucas numbers are considered, with additional parameter settings. Explicit formulæ are derived for ...
    • New Filbert and Lilbert matrices with asymmetric entries 

      Bozdağ, Hacer; Kılıç, Emrah; Akkus, Ilker (De Gruyter, 2020-04)
      In this paper, two new analogues of the Hilbert matrix with four-parameters have been introduced. Explicit formulæ are derived for the LU-decompositions and their inverses, and the inverse matrices of these analogue matrices.
    • A nonsymmetrical matrix and its factorizations 

      Arıkan, Talha; Kılıç, Emrah; Prodinger, Helmut (De Gruyter, 2019-08)
      We introduce a nonsymmetric matrix defined by q-integers. Explicit formul ae are derived for its LU-decomposition, the inverse matrices L-1 and U-1 and its inverse. Nonsymmetric variants of the Filbert and Lilbert matrices ...