Least-squares Problem and Optimal Approximate Problem for Hermitian-Reflexive Matrices on the linear Manifold
Wang Xue-fen · Journal of Dongguan University of Technology · 2015
By using the denotative theorem of Hermitian-Reflexive Matrices,this paper obtains the general expression of the least-squares solutions of inverse problem for Hermitian-Reflexive Matrices on the linear manifold,establishing some necessary and sufficient conditions for the linear matrix equations with a solution on the linear manifold,and for any n-by-n complex matrix,deriving the expression of the solution for relevant optimal approximate problem.