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

Kurmanbek B. Amanbek Y. Erlangga Y.
2022 Taylor and Francis Ltd.

Linear and Multilinear Algebra
2022 #70 Issue 8 1563 - 1570 pp.

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.

Determinant , Toeplitz matrices

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Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan
Department of Mathematics, Zayed University, Abu Dhabi, United Arab Emirates

Department of Mathematics
Department of Mathematics

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