Title

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

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.

ISSN

0308-1087

Publisher

Taylor and Francis Ltd.

Last Page

8

Disciplines

Physical Sciences and Mathematics

Keywords

Determinant, Toeplitz matrices

Scopus ID

85084995467

Indexed in Scopus

yes

Open Access

no

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