Now showing items 1-5 of 5

    • A class of non-symmetric band determinants with the Gaussian q-binomialcoefficients 

      Arikan, Talha; Kılıç, Emrah (Taylor and Francis Ltd., 2017)
      A class of symmetric band matrices of bandwidth 2r+1 with the binomial coefficients entries was studied earlier. We consider a class of non-symmetric band matrices with the Gaussian q-binomial coefficients whose upper ...
    • 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 ...
    • The generalized reciprocal super Catalan matrix 

      Kılıç, Emrah; Arikan, Talha (Scientific Technical Research Council TurkeyTürkiye bilimsel ve teknolojik araştırma kurumu, 2016)
      The reciprocal super Catalan matrix studied by Prodinger is further generalized, introducing two additional parameters. Explicit formulae are derived for the LU-decomposition and their inverses, as well as the Cholesky ...
    • The Matrix of Super Patalan Numbers and its Factorizations 

      Kılıç, Emrah; Prodinger, Helmut (University of Nis, 2017)
      Matrices related to Patalan and super-Patalan numbers are factored according to the LU-decomposition. Results are obtained via inspired guessings and later proved using methods from Computer Algebra.