@article{article_746184, title={Linear algebra of the Lucas matrix}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={50}, pages={549–558}, year={2021}, DOI={10.15672/hujms.746184}, author={Irmak, Nurettin and Köme, Cahit}, keywords={Lucas Matrix, Cholesky factorization, eigenvalues, majorization}, 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.}, number={2}, publisher={Hacettepe University}