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.
Saved in:
Main Authors: | , |
---|---|
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 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832551943444103168 |
---|---|
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 |
id | doaj-art-4527e905c0db43ef904c7110b40d0664 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
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 |