Conference Paper

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

Volume: 1 Number: 1 December 14, 2018
Conference Proceedings of Science and Technology Cover
Conference Proceedings of Science and Technology
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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

References

  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).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Authors

Publication Date

December 14, 2018

Submission Date

November 22, 2018

Acceptance Date

December 7, 2018

Published in Issue

Year 2018 Volume: 1 Number: 1

IZ

https://izlik.org/JA39ZJ64XS

Cite

RIS / Bibtex
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 (December 1, 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, vol. 1, no. 1, pp. 36–39, Dec. 2018, [Online]. Available: 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 (December 1, 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, vol. 1, no. 1, Dec. 2018, pp. 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]. 2018 Dec. 1;1(1):36-9. Available from: https://izlik.org/JA39ZJ64XS