Determinants and Permanents of Hessenberg Matrices with Fibonacci-Like Sequences

Yasemin TAŞYURDU; Fikret IŞIK

Article Details

Determinants and Permanents of Hessenberg Matrices with Fibonacci-Like Sequences

Authors:

Yasemin TAŞYURDU | Fikret IŞIK

Publisher:

Matematikçiler Derneği

Main Topics:

Mathematics

Journal:

Turkish Journal of Mathematics and Computer Science 2019 Vol.11, pp.65-71

Document Type:

Article

Publication Date:

12/2019

Document Language:

English

Document ID (Org No.):

2000638533

Frequency:

Bi-Annual

eISSN:

2148-1830

Abstract:

 


In this paper, we consider Hessenberg matrices and Fibonacci-Like sequences that is defined by the recurrence relation Tn=Tn−1+Tn−2Tn=Tn−1+Tn−2T_{n}=T_{n-1}+T_{n-2}, $% n\geq 2andand and T_{0}=m,,, T_{1}=mwherewhere where m$ is a fixed positive integer. We define two n×nn×nn\times n Hessenberg matrices with applications to the Fibonacci-Like sequences and investigate the determinantal and permanental properties. We obtain that the determinants and permanents of these Hessenberg matrices are equal to the nnnth term of Fibonacci-Like sequences.

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Article Details

Determinants and Permanents of Hessenberg Matrices with Fibonacci-Like Sequences

Authors: Yasemin TAŞYURDU | Fikret IŞIK

Publisher: Matematikçiler Derneği

Main Topics: Mathematics

Journal: Turkish Journal of Mathematics and Computer Science 2019 Vol.11, pp.65-71

Document Type: Article

Publication Date: 12/2019

Document Language: English

Document ID (Org No.): 2000638533

Frequency: Bi-Annual

eISSN: 2148-1830

Issues

Authors:

Yasemin TAŞYURDU | Fikret IŞIK

Publisher:

Matematikçiler Derneği

Main Topics:

Mathematics

Journal:

Turkish Journal of Mathematics and Computer Science 2019 Vol.11, pp.65-71

Document Type:

Article

Publication Date:

12/2019

Document Language:

English

Document ID (Org No.):

2000638533

Frequency:

Bi-Annual

eISSN:

2148-1830