Title

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

Source of Publication

Linear and Multilinear Algebra

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.

Document Type

Article

Publication Date

1-1-2020

DOI

10.1080/03081087.2020.1765959

Share

COinS