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Journals / Journal of Mathematical Sciences and Modelling / 2021 / Cilt: 4 Sayı: 3

A Note on Gershgorin Disks in the Elliptic Plane

Arzu SÜREKÇİ
Hidayet Hüda KÖSAL
Mehmet Ali GÜNGÖR
Pages
104–109
Publication Date
2021-12-27
DOI
—
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AI Summary & Key Takeaways

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

Thus, the obtained results extend, generalize and complement some known Gershgorin discs results from the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we derive Gershgorin discs of elliptic complex matrices in the elliptic plane.
📊
Key Findings & Data:Also, we investigate the location of the zeros of an elliptic complex valued polynomial with the help of Gershgorin discs of elliptic complex matrices.
💡
Conclusion & Impact:Thus, the obtained results extend, generalize and complement some known Gershgorin discs results from the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Elliptic complex matrix · Elliptic complex numbers · Elliptic valued polynomial

Abstract

In this study, we derive Gershgorin discs of elliptic complex matrices in the elliptic plane. Also, we investigate the location of the zeros of an elliptic complex valued polynomial with the help of Gershgorin discs of elliptic complex matrices. To prove the authenticity of our results and to distinguish them from existing ones, some illustrative examples are also given. Elliptic complex numbers are a generalized form of complex and so real numbers. Thus, the obtained results extend, generalize and complement some known Gershgorin discs results from the literature.

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Cite This Article

SÜREKÇİ, A., KÖSAL, H. H., GÜNGÖR, M. A. (2021). A Note on Gershgorin Disks in the Elliptic Plane. Journal of Mathematical Sciences and Modelling, Cilt: 4 Sayı: 3, 104–109. https://ajindex.com/articles/907976

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