Article
A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization
Linear and Multilinear Algebra
Document Type
Article
Publication Date
1-1-2020
Abstract
© 2020, © 2020 Informa UK Limited, trading as Taylor & Francis Group. In this work, we present and prove the explicit formula for the determinant of a class of (Formula presented.) nonsymmetric Toeplitz matrices. Setting up one of the nonzero subdiagonals to zero results in special pentadiagonal Toeplitz matrices, whose determinant formulas are conjectured by Anđelić and Fonseca in Anđelić [Some determinantal considerations for pentadiagonal matrices. Linear Multilinear Algebra. 2020. DOI:10.1080/03081087.2019.1708845]. By using the explicit formula with this setting, the conjectures are therefore proved.
DOI Link
10.1080/03081087.2020.1765959
Publisher
Taylor and Francis Ltd.
Disciplines
Keywords
- Determinant,
- Toeplitz matrices
Scopus ID
85084995467
Indexed in Scopus
Yes
Open Access
No
https://doi.org/10.1080/03081087.2020.1765959
Citation Information
Bakytzhan Kurmanbek, Yerlan Amanbek and Yogi Erlangga. "A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization" Linear and Multilinear Algebra (2020) - 8 ISSN: <a href="https://v2.sherpa.ac.uk/id/publication/issn/0308-1087" target="_blank">0308-1087</a> Available at: http://works.bepress.com/yogi-erlangga/1/