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Journals / Türk Doğa ve Fen Dergisi / 2022 / Cilt: 11 Sayı: 4

Location of Eigenvalues of Doubly Cyclic Z^+ Matrices

Çift Devirli Z^+-Matrislerin Özdeğerlerinin Yerleri

Murat Sarduvan(SAKARYA ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0001-7049-8922
Hande Neziroğlu(SAKARYA ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0000-0003-1948-3068
Pages
148–154
Publication Date
2022-12-28
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

While establishing these results, the fact that any eigenvalue of a matrix is a continuous function of entries of the matrix is used.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the results that determine locations of the eigenvalues of any nxn doubly cyclic Z^+ matrices with negative determinant are presented.
📊
Key Findings & Data:In this study, the results that determine locations of the eigenvalues of any nxn doubly cyclic Z^+ matrices with negative determinant are presented.
💡
Conclusion & Impact:While establishing these results, the fact that any eigenvalue of a matrix is a continuous function of entries of the matrix is used.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Çift devirli matris · özdeğerlerin yerleri · bir polinomun sıfırları

Abstract

In this study, the results that determine locations of the eigenvalues of any nxn doubly cyclic Z^+ matrices with negative determinant are presented. While establishing these results, the fact that any eigenvalue of a matrix is a continuous function of entries of the matrix is used.

Özet

Bu çalışmada n pozitif tamsayı olmak üzere herhangi negatif determinantlı nxn boyutlu çift devirli matrislerin özdeğerlerinin yerlerini belirleyen sonuçlar ortaya konulmuştur. Bu sonuçlar ortaya konulurken özdeğerlerin matris elemanlarının sürekli fonksiyonu oluşu kullanılmıştır.

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Cite This Article

Sarduvan, M., Neziroğlu, H. (2022). Location of Eigenvalues of Doubly Cyclic Z^+ Matrices. Türk Doğa ve Fen Dergisi, Cilt: 11 Sayı: 4, 148–154. https://doi.org/10.46810/tdfd.994281

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