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

Bakytzhan Kurmanbek, Yerlan Amanbek, Yogi Erlangga

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
JournalLinear and Multilinear Algebra
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • Determinant
  • Toeplitz matrices

ASJC Scopus subject areas

  • Algebra and Number Theory

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