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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 4 Issue: 3

Numerical Algorithm for Solving General Linear Elliptic Quaternionic Matrix Equations

Kemal Eren(Milli Eğitim Bakanlığı)0000-0001-5273-7897
Hidayet Hüda Kösal(SAKARYA UNIVERSITY)0000-0002-4083-462X
Pages
—
Publication Date
2021-09-30
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AI Summary & Key Takeaways

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

Moreover, we apply this method to the well-known Slyvester matrix equations and Kalman Yakubovich matrix equations over the elliptic quaternion algebra.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we develop a general method to solve the general linear elliptic quaternionic matrix equations by means of real representation of elliptic quaternion matrices.
📊
Key Findings & Data:A pseudocode for our approach that provides the solution of the linear elliptic quaternionic matrix equations is expressed.
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Conclusion & Impact:Moreover, we apply this method to the well-known Slyvester matrix equations and Kalman Yakubovich matrix equations over the elliptic quaternion algebra.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Elliptic Quaternion · Elliptic Quaternion Matrix · General Linear Elliptic Quaternionic Matrix Equations

Abstract

In this study, we develop a general method to solve the general linear elliptic quaternionic matrix equations by means of real representation of elliptic quaternion matrices. A pseudocode for our approach that provides the solution of the linear elliptic quaternionic matrix equations is expressed. Moreover, we apply this method to the well-known Slyvester matrix equations and Kalman Yakubovich matrix equations over the elliptic quaternion algebra.

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Cite This Article

Eren, K., Kösal, H. H. (2021). Numerical Algorithm for Solving General Linear Elliptic Quaternionic Matrix Equations. Fundamental Journal of Mathematics and Applications, Volume: 4 Issue: 3. https://doi.org/10.33401/fujma.888705

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