Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 45 Issue: 5

On the spectral norms of some special $g$-circulant matrices

Sayfa
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Yayın Tarihi
2016-10-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition, we also establish an explicit formula of the spectral norm for $g$-circulant matrix with the first row $([U_0^{(a,b)}]^2,[U_1^{(a,b)}]^2, \cdot, [U_{n-1}^{(a,b)}]^2)$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, we give upper and lower bounds for the spectral norm of $g$-circulant matrix, whose the first row entries are the classical Horadam numbers $U_i^{(a,b)}$.
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Temel Bulgular & Veri:In the present paper, we give upper and lower bounds for the spectral norm of $g$-circulant matrix, whose the first row entries are the classical Horadam numbers $U_i^{(a,b)}$.
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Sonuç & Katkı:In addition, we also establish an explicit formula of the spectral norm for $g$-circulant matrix with the first row $([U_0^{(a,b)}]^2,[U_1^{(a,b)}]^2, \cdot, [U_{n-1}^{(a,b)}]^2)$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$g$-Circulant matrix · Spectral norm · Horadam number

Abstract

In the present paper, we give upper and lower bounds for the spectral norm of $g$-circulant matrix, whose the first row entries are the classical Horadam numbers $U_i^{(a,b)}$. In addition, we also establish an explicit formula of the spectral norm for $g$-circulant matrix with the first row $([U_0^{(a,b)}]^2,[U_1^{(a,b)}]^2, \cdot, [U_{n-1}^{(a,b)}]^2)$.

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Bu Makaleye Atıf Yap

Shen, S., Liu, W., He, J. (2016). On the spectral norms of some special $g$-circulant matrices. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 5. https://ajindex.com/articles/1403101

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