%0 Journal Article
%T The least-square bisymmetric solution to a quaternion matrix equation with applications
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Wang, Q.
%A Yu, G.
%D 2013
%\ 05/15/2013
%V 39
%N 2
%P 239-257
%! The least-square bisymmetric solution to a quaternion matrix equation with applications
%K Quaternion matrix equation
%K bisymmetric matrix
%K least-square solution
%K Inertia
%R
%X In this paper, we derive the necessary and sufficient conditions for the quaternion matrix equation XA=B to have the least-square bisymmetric solution and give the expression of such solution when the solvability conditions are met. Futhermore, we consider the maximal and minimal inertias of the least-square bisymmetric solution to this equation. As applications, we derive sufficient and necessary conditions for XA=B to have the positive (nonnegative) definite least-square bisymmetric solution and the maximal (minimal) least-square bisymmetric solution.
%U http://bims.iranjournals.ir/article_340_5bfe11787a82c95ca80797926f05c97f.pdf