Cholesky algorithm of a Lucas type matrix

Year 2024, Volume: 73 Issue: 1, 131 - 146, 16.03.2024

Semih Yılmaz Betül Erdoğan

https://doi.org/10.31801/cfsuasmas.1340330

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

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