On Determinantal recurrence relations of banded matrices
We provide an algorithm based on a less-known result about recurrence relations for the determinants of banded matrices. As a consequence, we prove recent conjectures on the determinants of particular classes of pentadiagonal matrices and simple alternative proofs for other results.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-12-01
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| Series: | Kuwait Journal of Science |
| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/11165 |
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| _version_ | 1849471135123505152 |
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| author | Zhibin Du Carlos Fonseca António Pereira |
| author_facet | Zhibin Du Carlos Fonseca António Pereira |
| author_sort | Zhibin Du |
| collection | DOAJ |
| description |
We provide an algorithm based on a less-known result about recurrence relations for the determinants of banded matrices. As a consequence, we prove recent conjectures on the determinants of particular classes of pentadiagonal matrices and simple alternative proofs for other results.
|
| format | Article |
| id | doaj-art-181bcebf462147b9b18a3a67ccae32a2 |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-181bcebf462147b9b18a3a67ccae32a22025-08-20T03:24:56ZengElsevierKuwait Journal of Science2307-41082307-41162021-12-0149110.48129/kjs.v49i1.11165On Determinantal recurrence relations of banded matricesZhibin DuCarlos Fonseca0António PereiraDepartment of Mathematics Faculty of Science Kuwait University We provide an algorithm based on a less-known result about recurrence relations for the determinants of banded matrices. As a consequence, we prove recent conjectures on the determinants of particular classes of pentadiagonal matrices and simple alternative proofs for other results. https://journalskuwait.org/kjs/index.php/KJS/article/view/11165 |
| spellingShingle | Zhibin Du Carlos Fonseca António Pereira On Determinantal recurrence relations of banded matrices Kuwait Journal of Science |
| title | On Determinantal recurrence relations of banded matrices |
| title_full | On Determinantal recurrence relations of banded matrices |
| title_fullStr | On Determinantal recurrence relations of banded matrices |
| title_full_unstemmed | On Determinantal recurrence relations of banded matrices |
| title_short | On Determinantal recurrence relations of banded matrices |
| title_sort | on determinantal recurrence relations of banded matrices |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/11165 |
| work_keys_str_mv | AT zhibindu ondeterminantalrecurrencerelationsofbandedmatrices AT carlosfonseca ondeterminantalrecurrencerelationsofbandedmatrices AT antoniopereira ondeterminantalrecurrencerelationsofbandedmatrices |