Evaluation of Hessenberg Determinants via Generating Function Approach

KILIÇ E., ARIKAN T.

FILOMAT, cilt.31, sa.15, ss.4945-4962, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 15
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1715945k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4945-4962
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.