Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1683
Title: Evaluation of Hessenberg Determinants via Generating Function Approach
Authors: Kılıç, Emrah
Arıkan, Talha
29574
Keywords: Hessenberg matrix
determinant
generating function
recursive sequence
method
Issue Date: 2017
Publisher: University of Nis
Source: Kılıç, E., & Arıkan, T. (2017). Evaluation of Hessenberg determinants via generating function approach. Filomat, 31(15).
Abstract: In this paper, we will present various results on computing of wide classes of Hessenberg matrices whose entries are the terms of any sequence. We present many new results on the subject as well as our results will cover and generalize earlier many results by using generating function method. Moreover, we will present a new approach on computing Hessenberg determinants, whose entries are general higher order linear recursions with arbitrary constant coefficients, based on finding an adjacency-factor matrix. We will give some interesting showcases to show how to use our new method.
URI: http://www.doiserbia.nb.rs/img/doi/0354-5180/2017/0354-51801715945K.pdf
https://hdl.handle.net/20.500.11851/1683
ISSN: 0354-5180
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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