Some permanents of Hessenberg matrices

Koparal, Sibel; Ömür, Neşe; Duygu, Cemile Şener

doi:10.2298/fil1902475k

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2022

2023

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Cited by 2 publications

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“…Also, determinants and permanents have many applications in physics, chemistry, electrical engineering, and so on. There are a lot of relationships between determinantal and permanental representations of matrices and these sequences of integer (see, [3], [2], [4], [5], [6]). Toeplitz-Hessenberg determinants with entries that are Fibonacci-Narayana (or Narayana's cows) numbers have been studied (see, [1]).…”

Section: Introductionmentioning

confidence: 99%

Permanent of Toeplitz matrices with Narayana entries

Özen,

Selcuk,

Wynn

2023

AUCMCS

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In this paper, we investigate the properties of Toeplitz matrices with entries derived from the Narayana sequence. We demonstrate that when constructing Toeplitz matrices using Narayana numbers in a specific manner, their permanents exhibit a unique relationship, characterized as an exponential function. This novel finding offers new insights into the interplay between Toeplitz matrices and the Narayana sequence, expanding our understanding of the mathematical properties and potential applications of both.

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Section: Introductionmentioning

confidence: 99%

Permanent of Toeplitz matrices with Narayana entries

Özen,

Selcuk,

Wynn

2023

AUCMCS

View full text Add to dashboard Cite

show abstract

“…Also, determinants and permanents have many applications in physics, chemistry, electrical engineering, and so on. There are a lot of relationships between determinantal and permanental representations of matrices and these sequences of integer(see,( [6], [5], [3], [4], [1])). Toeplitz-Hessenberg determinants with entries that are Fibonacci-Narayana (or Narayana's cows) numbers have been studied(see, [2]).…”

Section: Introductionmentioning

confidence: 99%