A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization

Author First name, Last name, Institution

Bakytzhan Kurmanbek, Nazarbayev University
Yerlan Amanbek, Nazarbayev University
Yogi Erlangga, Zayed UniversityFollow

Document Type

Article

Source of Publication

Linear and Multilinear Algebra

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

ISSN

0308-1087

Publisher

Taylor and Francis Ltd.

Last Page

8

Disciplines

Physical Sciences and Mathematics

Keywords

Determinant, Toeplitz matrices

Scopus ID

85084995467

Recommended Citation

Kurmanbek, Bakytzhan; Amanbek, Yerlan; and Erlangga, Yogi, "A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization" (2020). All Works. 230.
https://zuscholars.zu.ac.ae/works/230

Indexed in Scopus

yes

Open Access

no