On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices
Abstract We show that the characteristic polynomial of a symmetric pentadiagonal Toeplitz matrix is the product of two polynomials given explicitly in terms of the Chebyshev polynomials.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-12-01
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| Series: | Arabian Journal of Mathematics |
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| Online Access: | http://link.springer.com/article/10.1007/s40065-017-0194-0 |
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doaj-c6222fc5a03d49ef8541b11268740249 |
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Article |
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doaj-c6222fc5a03d49ef8541b112687402492020-11-25T01:31:58ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512017-12-0172919910.1007/s40065-017-0194-0On formulae for the determinant of symmetric pentadiagonal Toeplitz matricesMohamed Elouafi0Classes Préparatoites aux Grandes Ecoles d’IngénieursAbstract We show that the characteristic polynomial of a symmetric pentadiagonal Toeplitz matrix is the product of two polynomials given explicitly in terms of the Chebyshev polynomials.http://link.springer.com/article/10.1007/s40065-017-0194-015B0565F4033C45 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohamed Elouafi |
| spellingShingle |
Mohamed Elouafi On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices Arabian Journal of Mathematics 15B05 65F40 33C45 |
| author_facet |
Mohamed Elouafi |
| author_sort |
Mohamed Elouafi |
| title |
On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices |
| title_short |
On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices |
| title_full |
On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices |
| title_fullStr |
On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices |
| title_full_unstemmed |
On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices |
| title_sort |
on formulae for the determinant of symmetric pentadiagonal toeplitz matrices |
| publisher |
SpringerOpen |
| series |
Arabian Journal of Mathematics |
| issn |
2193-5343 2193-5351 |
| publishDate |
2017-12-01 |
| description |
Abstract We show that the characteristic polynomial of a symmetric pentadiagonal Toeplitz matrix is the product of two polynomials given explicitly in terms of the Chebyshev polynomials. |
| topic |
15B05 65F40 33C45 |
| url |
http://link.springer.com/article/10.1007/s40065-017-0194-0 |
| work_keys_str_mv |
AT mohamedelouafi onformulaeforthedeterminantofsymmetricpentadiagonaltoeplitzmatrices |
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1725084168899002368 |