Lianggui Feng
Department of Mathematics and Systems Science, National University of Defense Technology, Changsha, Hunan 410073, China
Wei Cheng
Corresponding author.
Department of Mathematics and Systems Science, National University of Defense Technology, Changsha, Hunan 410073, China

Received 16 February 2009
Revised 5 August 2009

We give a clear description of the solution set to the quaternion matrix equation , where A, B are known, X is unknown and denotes the usual conjugate of X.

matrix equation; conjugate; quaternion division ring
AMSC numbers: 15A24, 15A33, 15A09, 15A03, 15A60