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Year 2018, Volume: 1 Issue: 1, 36 - 39, 14.12.2018

Hidayet Hüda Kösal

Abstract

References

  • [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).

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

Year 2018, Volume: 1 Issue: 1, 36 - 39, 14.12.2018

Hidayet Hüda Kösal

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

Elliptic quaternion Elliptic quaternion matrix Real representation of elliptic quaternion matrices

References

  • [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).
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Hidayet Hüda Kösal 0000-0002-4083-462X

Publication Date December 14, 2018
Acceptance Date December 7, 2018
Published in Issue Year 2018 Volume: 1 Issue: 1

Cite

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.
AMA Kösal HH. An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$. Conference Proceedings of Science and Technology. December 2018;1(1):36-39.
Chicago Kösal, Hidayet Hüda. “An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$”. Conference Proceedings of Science and Technology 1, no. 1 (December 2018): 36-39.
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 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, 2018.
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 2018), 36-39.
JAMA 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, 2018, pp. 36-39.
Vancouver Kösal HH. An Algorithm for Solutions to the Elliptic Quaternion Matrix Equation $AX=B$. Conference Proceedings of Science and Technology. 2018;1(1):36-9.
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