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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2017 / Cilt: 17 - Sayı: 3

Norm Inequalities and Applications in 3-Dimesional Matrices

3-Boyutlu Matrislerde Norm Eşitsizlikleri ve Uygulamaları

Burhaneddin İZGİ
Murat ÖZKAYA
Pages
906–913
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Furthermore, the usefulness of these inequalities is presented for 3-dimensional matrices obtain from simulations and real data applications

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we first define 3-dimensional matrix product as it is defined for 2-dimensional matrices.
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Key Findings & Data:Moreover, we present norm inequalities for 3-dimensional matrices and prove them.
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Conclusion & Impact:Furthermore, the usefulness of these inequalities is presented for 3-dimensional matrices obtain from simulations and real data applications
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we first define 3-dimensional matrix product as it is defined for 2-dimensional matrices. Moreover, we present norm inequalities for 3-dimensional matrices and prove them. Furthermore, the usefulness of these inequalities is presented for 3-dimensional matrices obtain from simulations and real data applications

Özet

Bu çalışmada ilk olarak 3-boyutlu matrislerde çarpma işlemi, 2-boyutlu matrislerdeki çarpma işlemine benzer şekilde tanımlanmıştır. Daha sonra, 3-boyutlu matrislerdeki norm eşitsizlikleri elde edilmiş ve bu eşitsizlikler ispatlanmıştır. Ayrıca tanımlanan eşitsizliklerin kullanışlılığı simülasyonlar yardımıyla elde edilmiş veriler ve gerçek veriler kullanılarak oluşturulmuş 3-boyutlu matrisler için ayrı ayrı hesaplanan norm değerleri yardımıyla gösterilmiştir

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Cite This Article

İZGİ, B., ÖZKAYA, M. (2022). Norm Inequalities and Applications in 3-Dimesional Matrices. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 17 - Sayı: 3, 906–913. https://ajindex.com/articles/430140

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