The Linear Algebra of the Pell-Lucas Matrix

Authors : Hayrullah Özimamoğlu, Ahmet Kaya

Pages : 158-168

Doi:10.33401/fujma.1404456

View : 26 | Download : 40

Publication Date : 2024-09-30

Article Type : Research

Abstract :In this paper, we introduce the Pell-Lucas and the symmetric Pell-Lucas matrices. The study delves into the linear algebra aspects of these matrices, analyzing their mathematical properties and relationships. We construct decompositions for both the Pell-Lucas matrix and its inverse matrix. We present the Cholesky factorization of the symmetric Pell-Lucas matrices. Furthermore, we derive some valuable identities and bounds for the eigenvalues of these symmetric matrices through the application of majorization notation.
Keywords : Pell-Lucas matrix, symmetric Pell-Lucas matrix, Cholesky factorization, majorization