Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Study on the Determinants of some Hessenberg Toeplitz Bohemians

Version 1 : Received: 10 August 2020 / Approved: 12 August 2020 / Online: 12 August 2020 (06:00:31 CEST)

How to cite: Feng, J.; Fan, H. A Study on the Determinants of some Hessenberg Toeplitz Bohemians. Preprints 2020, 2020080272. https://doi.org/10.20944/preprints202008.0272.v1 Feng, J.; Fan, H. A Study on the Determinants of some Hessenberg Toeplitz Bohemians. Preprints 2020, 2020080272. https://doi.org/10.20944/preprints202008.0272.v1

Abstract

In this paper, we deduce explicit formulas to evaluate the determinants of nonsymmetrical structure Toeplitz Bohemians by two determinants of specific Hessenberg Toeplitz matrices, which are linear combinations in terms of determinants of specific Hessenberg Toeplitz matrices. We get some new results very di¤erent from [Massimiliano Fasi, Gian Maria Negri Porzio, Determinants of normalized upper Hessenberg matrices, Electronic Journal of Linear Algebra, Volume 36, pp. 352-366, June 2020].

Keywords

Bohemian; Toeplitz matrix; Hessenberg matrix; tridiagonal matrix; pentadiagonal matrix

Subject

Computer Science and Mathematics, Computational Mathematics

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