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.

Saved in:
Bibliographic Details
Main Authors: Zhibin Du, Carlos Fonseca, António Pereira
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Kuwait Journal of Science
Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/11165
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2307-4108
2307-4116