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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 2

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

Efruz Özlem Mersin(AKSARAY UNIVERSITY)0000-0001-6260-9063
Mustafa Bahşi(AKSARAY UNIVERSITY)0000-0002-6356-6592
Sayfa
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Yayın Tarihi
2024-06-21
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then, we obtain the Euclidean norms and the upper bounds for the spectral norms of these matrices.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Frank matrix is one of the popular test matrices for eigenvalue routines because it has well-conditioned and poorly conditioned eigenvalues.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Then, we obtain the Euclidean norms and the upper bounds for the spectral norms of these matrices.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fibonacci sequence · Lucas sequence · Frank matrix

Abstract

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.

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Bu Makaleye Atıf Yap

Mersin, E. Ö., Bahşi, M. (2024). Bounds for the maximum eigenvalues of the Fibonacci-Frank and Lucas-Frank matrices. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 2. https://doi.org/10.31801/cfsuasmas.1299736

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