On Certain Matrices of Bernoulli Numbers
In this work we compute the determinant and inverse matrices for a certain symmetric matrix of Rayleigh sums. As a special case we also obtain the determinants and inverses for the matrices of the Bernoulli numbers and related numbers.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/536325 |
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| _version_ | 1832551434893131776 |
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| author | Ruiming Zhang Li-Chen Chen |
| author_facet | Ruiming Zhang Li-Chen Chen |
| author_sort | Ruiming Zhang |
| collection | DOAJ |
| description | In this work we compute the determinant and inverse matrices for a certain symmetric matrix of Rayleigh sums. As a special case we also obtain the determinants and inverses for the matrices of the Bernoulli numbers and related numbers. |
| format | Article |
| id | doaj-art-f9fe8d63c2e54131a6032d178e0408b0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f9fe8d63c2e54131a6032d178e0408b02025-02-03T06:01:32ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/536325536325On Certain Matrices of Bernoulli NumbersRuiming Zhang0Li-Chen Chen1The Institute of Applied Mathematics, College of Science, Northwest A&F University, Yangling, Shaanxi 712100, ChinaDepartment of Financial Engineering and Actuarial Mathematics, Soochow University, 56 Kueiyang Street, Sec. 1, Taipei 100, TaiwanIn this work we compute the determinant and inverse matrices for a certain symmetric matrix of Rayleigh sums. As a special case we also obtain the determinants and inverses for the matrices of the Bernoulli numbers and related numbers.http://dx.doi.org/10.1155/2014/536325 |
| spellingShingle | Ruiming Zhang Li-Chen Chen On Certain Matrices of Bernoulli Numbers Abstract and Applied Analysis |
| title | On Certain Matrices of Bernoulli Numbers |
| title_full | On Certain Matrices of Bernoulli Numbers |
| title_fullStr | On Certain Matrices of Bernoulli Numbers |
| title_full_unstemmed | On Certain Matrices of Bernoulli Numbers |
| title_short | On Certain Matrices of Bernoulli Numbers |
| title_sort | on certain matrices of bernoulli numbers |
| url | http://dx.doi.org/10.1155/2014/536325 |
| work_keys_str_mv | AT ruimingzhang oncertainmatricesofbernoullinumbers AT lichenchen oncertainmatricesofbernoullinumbers |