Linear algebra of the Lucas matrix

Year 2021, Volume: 50 Issue: 2, 549 - 558, 11.04.2021

Nurettin Irmak , Cahit Köme

https://doi.org/10.15672/hujms.746184

Cited By: 2

Abstract

In this paper, we give the factorizations of the Lucas and inverse Lucas matrices. We also investigate the Cholesky factorization of the symmetric Lucas matrix. Moreover, we obtain the upper and lower bounds for the eigenvalues of the symmetric Lucas matrix by using some majorization techniques.

Keywords

Lucas Matrix, Cholesky factorization, eigenvalues, majorization

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