A variant of the reciprocal super Catalan matrix
Emrah Kılıç; Ilker Akkus; Gonca Kızılaslan
Special Matrices (2015)
- Volume: 3, Issue: 1, page 163-168, electronic only
- ISSN: 2300-7451
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topEmrah Kılıç, Ilker Akkus, and Gonca Kızılaslan. "A variant of the reciprocal super Catalan matrix." Special Matrices 3.1 (2015): 163-168, electronic only. <http://eudml.org/doc/271768>.
@article{EmrahKılıç2015,
abstract = {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.},
author = {Emrah Kılıç, Ilker Akkus, Gonca Kızılaslan},
journal = {Special Matrices},
keywords = {Super Catalan numbers; LU-decomposition; Cholesky decomposition; q-analogues; super Catalan numbers; -decomposition; -analogues},
language = {eng},
number = {1},
pages = {163-168, electronic only},
title = {A variant of the reciprocal super Catalan matrix},
url = {http://eudml.org/doc/271768},
volume = {3},
year = {2015},
}
TY - JOUR
AU - Emrah Kılıç
AU - Ilker Akkus
AU - Gonca Kızılaslan
TI - A variant of the reciprocal super Catalan matrix
JO - Special Matrices
PY - 2015
VL - 3
IS - 1
SP - 163
EP - 168, electronic only
AB - 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.
LA - eng
KW - Super Catalan numbers; LU-decomposition; Cholesky decomposition; q-analogues; super Catalan numbers; -decomposition; -analogues
UR - http://eudml.org/doc/271768
ER -
References
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- [10] T. M. Richardson. The reciprocal Pascal matrix, ArXiv:1405.6315, 2014.
- [11] A. Riese, A Mathematica q-analogue of Zeilberger’s algorithm for proving q-hypergeometric identities, Diploma Thesis, RISC, J. Kepler University, Linz, Austria, 1995.
- [12] A. Riese, http://www.risc.uni-linz.ac.at/research/combinat/software/qZeil/index.php.
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