D对称半正定矩阵反问题的最佳逼近解

摘要

For given A*∈Rn×n,when the set of solution of the matrix equation AX=B in D-2SRn×n0 is nonempty, the optimal approximation solution of A* in SA is given,and a numerical example is performed to illustrate the validity of the optimal approximation solution.%对任意矩阵A*∈Rn×n,当矩阵方程AX=B在D对称半正定矩阵集D-2SRn×n0中的解集SA非空时,给出A*在SA中的最佳逼近解,并用数值算例验证最佳逼近解的有效性.