Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 5

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

Sayfa
1441–1448
Yayın Tarihi
2022-10-18
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:Araştırma Makalesi
📍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., LİU, W., HE, J. (2022). On the spectral norms of some special $g$-circulant matrices. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 5, 1441–1448. https://ajindex.com/articles/530035

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