The reciprocal super Catalan matrix

The reciprocal super Catalan matrix

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.

Bibliographic Details
Main Author: Prodinger Helmut
Format: Article
Language:English
Published: De Gruyter 2015-05-01
Series:Special Matrices
Subjects:
Super Catalan numbers
LU-decomposition
q-analogues
15B05, 05A05
Online Access:http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0010/spma-2015-0010.xml?format=INT
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spelling doaj-164c198492c54281bc1504daeecefbdd2021-10-02T13:04:32ZengDe GruyterSpecial Matrices2300-74512015-05-013110.1515/spma-2015-0010spma-2015-0010The reciprocal super Catalan matrixProdinger Helmut0Kobe Gakuin University, Kobe, 650-8586, JapanThe 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.http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0010/spma-2015-0010.xml?format=INTSuper Catalan numbers LU-decomposition q-analogues15B05, 05A05
collection DOAJ
language English
format Article
sources DOAJ
author Prodinger Helmut
spellingShingle Prodinger Helmut
The reciprocal super Catalan matrix
Special Matrices
Super Catalan numbers
LU-decomposition
q-analogues
15B05, 05A05
author_facet Prodinger Helmut
author_sort Prodinger Helmut
title The reciprocal super Catalan matrix
title_short The reciprocal super Catalan matrix
title_full The reciprocal super Catalan matrix
title_fullStr The reciprocal super Catalan matrix
title_full_unstemmed The reciprocal super Catalan matrix
title_sort reciprocal super catalan matrix
publisher De Gruyter
series Special Matrices
issn 2300-7451
publishDate 2015-05-01
description 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.
topic Super Catalan numbers
LU-decomposition
q-analogues
15B05, 05A05
url http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0010/spma-2015-0010.xml?format=INT
work_keys_str_mv AT prodingerhelmut thereciprocalsupercatalanmatrix
AT prodingerhelmut reciprocalsupercatalanmatrix
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