Çift Devirli Z^+-Matrislerin Özdeğerlerinin Yerleri

Year 2022, Volume: 11 Issue: 4, 148 - 154, 28.12.2022

Murat Sarduvan Hande Neziroğlu

https://doi.org/10.46810/tdfd.994281

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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