Publications
Article · Linear and Multilinear Algebra · May 13, 2020
A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization
Bakytzhan Kurmanbek, Yerlan Amanbek, Yogi A. Erlangga
Abstract
In this work, we present and prove the explicit formula for the determinant of a class of n×n 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.
Matrix Theory and AlgorithmsAdvanced Combinatorial MathematicsHolomorphic and Operator TheoryToeplitz matricesmatrix determinants
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