Some Properties of Hessenberg Matrices with Conditional Elements


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Authors

  • Cahit KÖME Nevşehir Hacı Bektaş Veli University

DOI:

https://doi.org/10.59287/icaens.1039

Keywords:

Hessenberg Matrix, Determinant, Inverse, Triangular Matrix, Generalized Bi-Periodic Fibonacci Sequence

Abstract

Hessenberg matrices are a class of structured matrices that play a fundamental role in various areas of mathematics and scientific computing. These matrices have diverse applications in numerical analysis, optimization, graph theory, and quantum mechanics, among others. This paper provides the determinants of the conditional Hessenberg matrices whose elements are the generalized bi-periodic Fibonacci numbers. Moreover, we find the inverse of some special type matrices which help us to find the determinant of the conditional Hessenberg matrices.

Author Biography

Cahit KÖME, Nevşehir Hacı Bektaş Veli University

Department of Mathematics,  50300, Turkey

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Published

2023-07-21

How to Cite

KÖME, C. (2023). Some Properties of Hessenberg Matrices with Conditional Elements. International Conference on Applied Engineering and Natural Sciences, 1(1), 459–462. https://doi.org/10.59287/icaens.1039