EN
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] 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).
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Konferans Bildirisi
Yazarlar
Yayımlanma Tarihi
14 Aralık 2018
Gönderilme Tarihi
22 Kasım 2018
Kabul Tarihi
7 Aralık 2018
Yayımlandığı Sayı
Yıl 2018 Cilt: 1 Sayı: 1
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