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
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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 -