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Journals / Selçuk Üniversitesi Fen Fakültesi Fen Dergisi / 2011 / Cilt: 2 - Sayı: 37

On the Hadamard Product of Matrices

Matrislerin Hadamard Çarpımı Üzerine

İ. Halil GÜMÜŞ
Necati TAŞKARA
Pages
9–14
Publication Date
2011-12-01
DOI
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AI Summary & Key Takeaways

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

Finally an equality between the traces of Kronecker product and Hadamard product of two matrices is discovered.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:: In this study, the inequalities related to Hadamard product of matrices which has a significant place in linear algebra was compilated.
📊
Key Findings & Data:Hadamard product and Kronecker product were introduced and the relations among these products were mentioned.
💡
Conclusion & Impact:Finally an equality between the traces of Kronecker product and Hadamard product of two matrices is discovered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hadamard Çarpım · Kronecker Çarpım · Pozitif tanımlı matris

Abstract

: In this study, the inequalities related to Hadamard product of matrices which has a significant place in linear algebra was compilated. Hadamard product and Kronecker product were introduced and the relations among these products were mentioned. In the main section of study, the inequalities including Hadamard product were emphasized. Finally an equality between the traces of Kronecker product and Hadamard product of two matrices is discovered.

Özet

Bu çalışmada lineer cebirde önemli bir yere sahip olan matrislerin Hadamard çarpımı ile ilgili eşitsizlikler derlenmiştir. Hadamard çarpım ve Kronecker çarpım tanıtılıp, bu çarpımlar arasındaki ilişkilerden bahsedilmiştir. Çalışmanın esas kısmında ise Hadamard çarpımı içeren eşitsizlikler üzerinde durulmuştur. Son olarak da iki matrisin Kronecker çarpımlarının izi ile Hadamard çarpımlarının izi arasında bir bağlantı verilmiştir.

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Cite This Article

GÜMÜŞ, İ. H., TAŞKARA, N. (2011). On the Hadamard Product of Matrices. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, Cilt: 2 - Sayı: 37, 9–14. https://ajindex.com/articles/800410

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References (6)

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