TY - JOUR

T1 - A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization

AU - Kurmanbek, Bakytzhan

AU - Amanbek, Yerlan

AU - Erlangga, Yogi

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Determinant

KW - Toeplitz matrices

UR - http://www.scopus.com/inward/record.url?scp=85084995467&partnerID=8YFLogxK

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U2 - 10.1080/03081087.2020.1765959

DO - 10.1080/03081087.2020.1765959

M3 - Article

AN - SCOPUS:85084995467

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

SN - 0308-1087

ER -