Explicit inverse of the Pascal matrix plus one

This paper presents a simple approach to invert the matrix Pn+In by applying the Euler polynomials and Bernoulli numbers, where Pn is the Pascal matrix.

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Main Authors: Sheng-liang Yang, Zhong-kui Liu
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/90901
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author Sheng-liang Yang
Zhong-kui Liu
author_facet Sheng-liang Yang
Zhong-kui Liu
author_sort Sheng-liang Yang
collection DOAJ
description This paper presents a simple approach to invert the matrix Pn+In by applying the Euler polynomials and Bernoulli numbers, where Pn is the Pascal matrix.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2006-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-4527e905c0db43ef904c7110b40d06642025-02-03T06:00:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9090190901Explicit inverse of the Pascal matrix plus oneSheng-liang Yang0Zhong-kui Liu1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, ChinaThis paper presents a simple approach to invert the matrix Pn+In by applying the Euler polynomials and Bernoulli numbers, where Pn is the Pascal matrix.http://dx.doi.org/10.1155/IJMMS/2006/90901
spellingShingle Sheng-liang Yang
Zhong-kui Liu
Explicit inverse of the Pascal matrix plus one
International Journal of Mathematics and Mathematical Sciences
title Explicit inverse of the Pascal matrix plus one
title_full Explicit inverse of the Pascal matrix plus one
title_fullStr Explicit inverse of the Pascal matrix plus one
title_full_unstemmed Explicit inverse of the Pascal matrix plus one
title_short Explicit inverse of the Pascal matrix plus one
title_sort explicit inverse of the pascal matrix plus one
url http://dx.doi.org/10.1155/IJMMS/2006/90901
work_keys_str_mv AT shengliangyang explicitinverseofthepascalmatrixplusone
AT zhongkuiliu explicitinverseofthepascalmatrixplusone