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

ISSN: 2651-544X
Başlangıç: 2018
Yayıncı: Murat TOSUN

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,

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[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).