Dergiler / Gazi University Journal of Science / 2018 / Cilt: 31 - Sayı: 2

On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number

On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number

Sayfa
555–567
DOI
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Abstract

In this paper, we study the spectral norms of the geometric circulant matrices𝑇𝑟∗ = 𝐶𝑖𝑟𝑐𝑟∗(𝑇0, 𝑇1, ⋯ , 𝑇𝑛−1) and the symmetric geometric circulant matrices𝑆𝑇𝑟∗ = 𝑆𝐶𝑖𝑟𝑐𝑟∗(𝑇0, 𝑇1, ⋯ , 𝑇𝑛−1), where 𝑇𝑛 denotes the 𝑛𝑡ℎ Tribonacci number and 𝑟 is any complex number.