Çift Devirli Z^+-Matrislerin Özdeğerlerinin Yerleri

Abstract

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.

Keywords

• Çift devirli matris
• özdeğerlerin yerleri
• bir polinomun sıfırları

Location of Eigenvalues of Doubly Cyclic Z^+ Matrices

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.

Keywords

• Doubly cyclic - matrix
• Eigenvalue location
• Zeros of a polinomial

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