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A variant of the reciprocal super Catalan matrix

100%
Kılıç E., Akkus I., Kızılaslan G.
Special Matrices
|
2015
|
tom 3
|
nr 1
EN
Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented. In this paper, we define and study a variant of the reciprocal super Catalan matrix with two additional parameters. Explicit formulæ for its LU-decomposition, LUdecomposition of its inverse and the Cholesky decomposition are obtained. For all results, q-analogues are also presented.
2
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The reciprocal super Catalan matrix

100%
Prodinger H.
Special Matrices
|
2015
|
tom 3
|
nr 1
EN
The reciprocal super Catalan matrix has entries [...] . Explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, q-analogues are also presented.
3
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Factorizations related to some numerical triangles

100%
Prodinger H.
Special Matrices
|
2017
|
tom 5
|
nr 1
290-295
EN
An asymmetric combinatorial matrix with two free parameters is factored in 4 different ways. The results are obtained by a combination of guessing and applying combinatorial identities.
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