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Journals / Conference Proceedings of Science and Technology / 2018 / Cilt: 1 Sayı: 1

An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$

Hidayet Hüda Kösal(SAKARYA UNIVERSITY)0000-0002-4083-462X
Pages
36–39
Publication Date
2018-12-14
DOI
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AI Summary & Key Takeaways

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

Also, our results are illustrated with an example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the existence of solution to the elliptic quaternion matrix equations $AX=B$ is characterized and solutions of this matrix equation are derived by means of real representations.
📊
Key Findings & Data:In this paper, the existence of solution to the elliptic quaternion matrix equations $AX=B$ is characterized and solutions of this matrix equation are derived by means of real representations.
💡
Conclusion & Impact:Also, our results are illustrated with an example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Elliptic quaternion · Elliptic quaternion matrix · Real representation of elliptic quaternion matrices

Abstract

In this paper, the existence of solution to the elliptic quaternion matrix equations $AX=B$ is characterized and solutions of this matrix equation are derived by means of real representations. Also, our results are illustrated with an example.

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Cite This Article

Kösal, H. H. (2018). An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$. Conference Proceedings of Science and Technology, Cilt: 1 Sayı: 1, 36–39. https://ajindex.com/articles/984414

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References (7)

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  3. H. H. Kosal, M. Tosun, Commutative quaternion matrices, Adv. Appl. Clifford Algebr., 24 (2014), 769-779.
  4. H. H. Kosal, M. Akyigit, M. Tosun, Consimilarity of commutative quaternion matrices., Miskolc Math. Notes, 24 (2014), 769-779.
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  7. H. H. Kosal, On commutative quaternion matrices., Sakarya University Graduate School of Natural and Applied Sciences, Sakarya, Ph.D. Thesis,(2014).