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.
@article{bwmeta1.element.doi-10_1515_spma-2015-0014,
author = {Emrah K\i l\i \c c and Ilker Akkus and Gonca K\i z\i laslan},
title = {A variant of the reciprocal super Catalan matrix},
journal = {Special Matrices},
volume = {3},
year = {2015},
zbl = {1330.15034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2015-0014}
}
Emrah Kılıç; Ilker Akkus; Gonca Kızılaslan. A variant of the reciprocal super Catalan matrix. Special Matrices, Tome 3 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2015-0014/
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