A NEW SYMMETRIC APPROACH TO FIBONACCI NUMBERS AND THEIR PROPERTIES.

Autor: Petroudi, S. H. Jafari, Pirouz, M., Jabee, S., Shadab, M.
Předmět:
Zdroj: Palestine Journal of Mathematics; 2023, Vol. 12 Issue 3, p34-43, 10p
Abstrakt: In this paper, we exploit the concept of a particular n × n symmetric matrix of the form F = [Fk]n×n, where k = max(i, j)+1 and FK is the kth Fibonacci number. We investigate some special properties of this new matrix. In addition, we construct the Hadamard exponential form of this new matrix. We compute the spectral norm, determinant, principal minors, some upper and lower bounds of this matrix and its Hadamard exponential. Finally, we prove that its Hadamard inverse is positive definite, and investigate some properties of its Hadamard inverse. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index