Linear algebra of the Lucas matrix

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Hacettepe Journal of Mathematics and Statistics
Volume:50 Issue:2
Linear algebra of the Lucas matrix

Linear algebra of the Lucas matrix

Authors : Nurettin IRMAK, Cahit KÖME

Pages : 549-558

Doi:10.15672/hujms.746184

View : 115 | Download : 20

Publication Date : 2021-04-11

Article Type : Research Paper

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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