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

Cilt: 1 Sayı: 1 14 Aralık 2018
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An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$

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.

Keywords

Kaynakça

  1. [1] F. Catoni, R. Cannata and P. Zampetti, An introduction to commutative iuaternions, Adv. Appl. Clifford Algebr., 16 (2005), 1-28.
  2. [2] F. Severi, Opere Matematiche, Acc. Naz. Lincei, Roma, 3 (1977), 353-461.
  3. [3] H. H. Kosal, M. Tosun, Commutative quaternion matrices, Adv. Appl. Clifford Algebr., 24 (2014), 769-779.
  4. [4] H. H. Kosal, M. Akyigit, M. Tosun, Consimilarity of commutative quaternion matrices., Miskolc Math. Notes, 24 (2014), 769-779.
  5. [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. [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. [7] H. H. Kosal, On commutative quaternion matrices., Sakarya University Graduate School of Natural and Applied Sciences, Sakarya, Ph.D. Thesis,(2014).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Konferans Bildirisi

Yayımlanma Tarihi

14 Aralık 2018

Gönderilme Tarihi

22 Kasım 2018

Kabul Tarihi

7 Aralık 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 1 Sayı: 1

Kaynak Göster

APA
Kösal, H. H. (2018). An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$. Conference Proceedings of Science and Technology, 1(1), 36-39. https://izlik.org/JA39ZJ64XS
AMA
1.Kösal HH. An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$. Conference Proceedings of Science and Technology. 2018;1(1):36-39. https://izlik.org/JA39ZJ64XS
Chicago
Kösal, Hidayet Hüda. 2018. “An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$”. Conference Proceedings of Science and Technology 1 (1): 36-39. https://izlik.org/JA39ZJ64XS.
EndNote
Kösal HH (01 Aralık 2018) An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$. Conference Proceedings of Science and Technology 1 1 36–39.
IEEE
[1]H. H. Kösal, “An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$”, Conference Proceedings of Science and Technology, c. 1, sy 1, ss. 36–39, Ara. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA39ZJ64XS
ISNAD
Kösal, Hidayet Hüda. “An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$”. Conference Proceedings of Science and Technology 1/1 (01 Aralık 2018): 36-39. https://izlik.org/JA39ZJ64XS.
JAMA
1.Kösal HH. An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$. Conference Proceedings of Science and Technology. 2018;1:36–39.
MLA
Kösal, Hidayet Hüda. “An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$”. Conference Proceedings of Science and Technology, c. 1, sy 1, Aralık 2018, ss. 36-39, https://izlik.org/JA39ZJ64XS.
Vancouver
1.Hidayet Hüda Kösal. An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$. Conference Proceedings of Science and Technology [Internet]. 01 Aralık 2018;1(1):36-9. Erişim adresi: https://izlik.org/JA39ZJ64XS