Bounds for the maximum eigenvalues of the Fibonacci-Frank and Lucas-Frank matrices

Yıl 2024, Cilt: 73 Sayı: 2, 420 - 436, 21.06.2024

Efruz Özlem Mersin , Mustafa Bahşi

https://doi.org/10.31801/cfsuasmas.1299736

Cited By: 1

Öz

Frank matrix is one of the popular test matrices for eigenvalue routines because it has well-conditioned and poorly conditioned eigenvalues. In this paper, we investigate the bounds for the maximum eigenvalues of the special cases of the generalized Frank matrices which are called Fibonacci-Frank and Lucas-Frank matrices. Then, we obtain the Euclidean norms and the upper bounds for the spectral norms of these matrices.

Anahtar Kelimeler

Fibonacci sequence, Lucas sequence, Frank matrix, eigenvalue, bounds, norm

Kaynakça

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