TY - JFULL
AU - Yongxin Yuan and Jiashang Jiang
PY - 2011/8/
TI - Iterative solutions to the linear matrix equation AXB + CXTD = E
T2 - International Journal of Mathematical and Computational Sciences
SP - 1045
EP - 1049
VL - 5
SN - 1307-6892
UR - https://publications.waset.org/pdf/12577
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 55, 2011
N2 - In this paper the gradient based iterative algorithm is
presented to solve the linear matrix equation AXB +CXTD = E,
where X is unknown matrix, A,B,C,D,E are the given constant
matrices. It is proved that if the equation has a solution, then the
unique minimum norm solution can be obtained by choosing a special
kind of initial matrices. Two numerical examples show that the
introduced iterative algorithm is quite efficient.
ER -