The determinant and a factorization of a Toeplitz matrix with some type of Horadam numbers entries-Reference-Cited by-同舟云学术

The determinant and a factorization of a Toeplitz matrix with some type of Horadam numbers entries

Published:2024-05-10 Issue: Volume: Page:
ISSN:1367-0751
Container-title:Logic Journal of the IGPL
language:en
Short-container-title:

Author:

da Fonseca Carlos M¹,Kızılateş Can²,Terzioğlu Nazlıhan³

Affiliation:

1. Kuwait College of Science and Technology , Doha District, Safat 13133, Kuwait.Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Spain , c.dafonseca@kcst.edu.kw

2. Zonguldak Bülent Ecevit Unıversıty , Department of Mathematics, Zonguldak, 67100, Turkey , cankizilates@gmail.com

3. Zonguldak Bülent Ecevit Unıversıty , Department of Mathematics, Zonguldak, 67100, Turkey , nazlihanterzioglu@gmail.com

Abstract

Abstract In this note, we define a symmetric Toeplitz matrix whose entries are from a particular Horadam sequence. We provide the determinant, the inverse and a factorization for such matrices and their special cases. These matrices are always nonsingular and their inverses are pentadiagonal matrices.

Publisher

Oxford University Press (OUP)

Link

https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzae065/57502935/jzae065.pdf

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