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Dergiler / 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
Sayfa
36–39
Yayın Tarihi
2018-12-14
DOI
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Also, our results are illustrated with an example.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:Also, our results are illustrated with an example.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (7)

  1. F. Catoni, R. Cannata and P. Zampetti, An introduction to commutative iuaternions, Adv. Appl. Clifford Algebr., 16 (2005), 1-28.
  2. F. Severi, Opere Matematiche, Acc. Naz. Lincei, Roma, 3 (1977), 353-461.
  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.
  5. H. H. Kosal, M. Tosun, Some equivalence relations and results over the commutative quaternions and their matrices, An. Stiint. Univ. Ovidius Constant a, Seria Mat., 16 (2015), 965-977.
  6. H. H. Kosal, M. Tosun, Universal similarity factorization equalities for commutative quaternions and their matrices, Linear Multilinear Algebra, (2018), DOI:10.1080/03081087.2018.1439878.
  7. H. H. Kosal, On commutative quaternion matrices., Sakarya University Graduate School of Natural and Applied Sciences, Sakarya, Ph.D. Thesis,(2014).