Cholesky algorithm of a Lucas type matrix

Authors : Semih Yılmaz, Betül Erdoğan

Pages : 131-146

Doi:10.31801/cfsuasmas.1340330

View : 40 | Download : 75

Publication Date : 2024-03-16

Article Type : Research Paper

Abstract :Many generalizations have been made for Fibonacci and Lucas number sequences and many properties have been found about these sequences. In the article [13], the authors obtained many features of these sequences with the Cholesky decomposition algorithm, using the 2 x 2 matrix belonging to a generalization of the Fibonacci sequence. In this study, it is shown that many different features can be found by using a 2 x 2 matrix belonging to the Lucas number sequence with the same method.
Keywords : Fibonacci numbers, Lucas numbers, Cholesky decomposition