The Linear Algebra of the Pell-Lucas Matrix

Yıl 2024, Cilt: 7 Sayı: 3, 158 - 168, 30.09.2024

Hayrullah Özimamoğlu , Ahmet Kaya

https://doi.org/10.33401/fujma.1404456

Öz

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.

Anahtar Kelimeler

Pell-Lucas matrix, symmetric Pell-Lucas matrix, Cholesky factorization, majorization

Kaynakça

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