Now showing items 1-9 of 9
The Matrix of Super Patalan Numbers and its Factorizations
(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.
The generalized q-Pilbert matrix
(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 ...
A variant of the reciprocal super Catalan matrix
(De Gruyter Open Ltd, 2015-01)
Recently Prodinger  considered the reciprocal super Catalan matrix and gave explicit formula for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues ...
The generalized Lilbert matrix
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 ...
A class of non-symmetric band determinants with the Gaussian q-binomialcoefficients
(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 ...
New analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries
(Hacettepe University, 2020-04-02)
In this paper, we present new analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries consist of the Fibonacci and Lucas numbers. We shall derive explicit formulæ for their LU-decompositions ...
A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices
(University of Calgary, 2019-12-25)
In this paper, we present a number of combinatorial matrices that are generalizations or variants of the super Catalan matrix and the reciprocal Pascal matrix. We present explicit formulæ for LU-decompositions of all the ...
A nonlinear generalization of the Filbert matrix and its Lucas analogue
(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 ...
New Filbert and Lilbert matrices with asymmetric entries
(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.