The eigenvalues of circulant matrices with generalized tetranacci numbers
Yıl: 2021 Cilt: 11 Sayı: 2 Sayfa Aralığı: 417 - 423 Metin Dili: İngilizce DOI: 10.17714/gumusfenbil.830575 İndeks Tarihi: 26-05-2021
The eigenvalues of circulant matrices with generalized tetranacci numbers
Öz: Let the sequence (𝒯𝑛)𝑛∈ℕ be the generalized tetranacci sequence. Define the 𝑛 × 𝑛 circulant matrix C(𝒯) byc𝑖j = {𝒯j−𝑖, j ≥ 𝑖𝒯𝑛+j−𝑖, j < 𝑖 for 𝑖, j = 1, 2, … , 𝑛. In this paper, the eigenvalue of 𝐶(𝒯) is studied. By using this value, thedeterminant value of this matrix is delivered.
Anahtar Kelime: Genelleştirilmiş tetranacci sayıları ile tanımlı circulant matrislerin özdeğerleri
Öz: (𝒯𝑛)𝑛∈ℕ genelleştirilmiş tetranacci dizisi ve 𝐶(𝒯) , 𝑛 × 𝑛 tipinde 𝑖,𝑗 = 1, 2, … , 𝑛 için 𝑐𝑖𝑗 = {𝒯𝑗−𝑖, 𝑗 ≥ 𝑖𝒯𝑛+𝑗−𝑖, 𝑗 < 𝑖 biçimde tanımlı circulant matris olsun. Bu çalışmada, 𝐶(𝒯)’nin özdeğerleri çalışılmıştır. Bu değer kullanılarak, circulant matrisin determinant değeri hesaplanmıştır.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | YESIL F (2021). The eigenvalues of circulant matrices with generalized tetranacci numbers. , 417 - 423. 10.17714/gumusfenbil.830575 |
| Chicago | YESIL Fatma The eigenvalues of circulant matrices with generalized tetranacci numbers. (2021): 417 - 423. 10.17714/gumusfenbil.830575 |
| MLA | YESIL Fatma The eigenvalues of circulant matrices with generalized tetranacci numbers. , 2021, ss.417 - 423. 10.17714/gumusfenbil.830575 |
| AMA | YESIL F The eigenvalues of circulant matrices with generalized tetranacci numbers. . 2021; 417 - 423. 10.17714/gumusfenbil.830575 |
| Vancouver | YESIL F The eigenvalues of circulant matrices with generalized tetranacci numbers. . 2021; 417 - 423. 10.17714/gumusfenbil.830575 |
| IEEE | YESIL F "The eigenvalues of circulant matrices with generalized tetranacci numbers." , ss.417 - 423, 2021. 10.17714/gumusfenbil.830575 |
| ISNAD | YESIL, Fatma. "The eigenvalues of circulant matrices with generalized tetranacci numbers". (2021), 417-423. https://doi.org/10.17714/gumusfenbil.830575 |
| APA | YESIL F (2021). The eigenvalues of circulant matrices with generalized tetranacci numbers. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 11(2), 417 - 423. 10.17714/gumusfenbil.830575 |
| Chicago | YESIL Fatma The eigenvalues of circulant matrices with generalized tetranacci numbers. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 11, no.2 (2021): 417 - 423. 10.17714/gumusfenbil.830575 |
| MLA | YESIL Fatma The eigenvalues of circulant matrices with generalized tetranacci numbers. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, vol.11, no.2, 2021, ss.417 - 423. 10.17714/gumusfenbil.830575 |
| AMA | YESIL F The eigenvalues of circulant matrices with generalized tetranacci numbers. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2021; 11(2): 417 - 423. 10.17714/gumusfenbil.830575 |
| Vancouver | YESIL F The eigenvalues of circulant matrices with generalized tetranacci numbers. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2021; 11(2): 417 - 423. 10.17714/gumusfenbil.830575 |
| IEEE | YESIL F "The eigenvalues of circulant matrices with generalized tetranacci numbers." Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 11, ss.417 - 423, 2021. 10.17714/gumusfenbil.830575 |
| ISNAD | YESIL, Fatma. "The eigenvalues of circulant matrices with generalized tetranacci numbers". Gümüşhane Üniversitesi Fen Bilimleri Dergisi 11/2 (2021), 417-423. https://doi.org/10.17714/gumusfenbil.830575 |
