On linear algebra of one type of symmetric matrices with harmonic Fibonacci entries
- 9 July 2022
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Notes on Number Theory and Discrete Mathematics
- Vol. 28 (3), 399-410
- https://doi.org/10.7546/nntdm.2022.28.3.399-410
Abstract
This paper focuses on a specially constructed matrix whose entries are harmonic Fibonacci numbers and considers its Hadamard exponential matrix. A lot of admiring algebraic properties are presented for both of them. Some of them are determinant, inverse in usual and in the Hadamard sense, permanents, some norms, etc. Additionally, a MATLAB-R2016a code is given to facilitate the calculations and to further enrich the content.Keywords
This publication has 2 references indexed in Scilit:
- On the harmonic and hyperharmonic Fibonacci numbersAdvances in Difference Equations, 2015
- Hessenberg matrices and the Pell and Perrin numbersJournal of Number Theory, 2011