Linear Equations Systems of Real and Complex Semi-Quaternions

Alagöz Y. , Özyurt G.

Iranian Journal Of Science And Technology Transaction A-Science, cilt.44, 2020 (SCI Expanded İndekslerine Giren Dergi)

  • Cilt numarası: 44
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40995-020-00956-7
  • Dergi Adı: Iranian Journal Of Science And Technology Transaction A-Science


In this work firstly real semi-quaternion matrices and their properties are examined. Then, 2n×2n complex adjoint matrix and 4n×4n real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the  2n×2n complex adjoint matrix and the  4n×4n real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their 2n×2n real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this 2n×2n matrix representation. Finally, for a complex semi-quaternion matrix  4n×4n complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined.