TY - JOUR
A2 - Wang, Qing-Wen
AU - Rehman, Abdur
AU - Kyrchei, Ivan
AU - Akram, Muhammad
AU - Ali, Ilyas
AU - Shakoor, Abdul
PY - 2019
DA - 2019/08/19
TI - Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations
SP - 9072690
VL - 2019
AB - We constitute some necessary and sufficient conditions for the system A1X1=C1, X1B1=C2, A2X2=C3, X2B2=C4, A3X1B3+A4X2B4=Cc, to have a solution over the quaternion skew field in this paper. A novel expression of general solution to this system is also established when it has a solution. The least norm of the solution to this system is also researched in this article. Some former consequences can be regarded as particular cases of this article. Finally, we give determinantal representations (analogs of Cramer’s rule) of the least norm solution to the system using row-column noncommutative determinants. An algorithm and numerical examples are given to elaborate our results.
SN - 1085-3375
UR - https://doi.org/10.1155/2019/9072690
DO - 10.1155/2019/9072690
JF - Abstract and Applied Analysis
PB - Hindawi
KW -
ER -