线性流形上矩阵的条件最佳逼近

The Conditional Best Approximation of Matrix on the Linear Mainfold

设Ai，Bi，Gi为给定的矩阵，i＝1，2，S为||A1XB1－C1||2F＋||A2XB2－C2||2F＝min的解集，在给定矩阵X0的条件下，求X∈S；使得本文利用[6]的结果给出了X的表达式．

Suppose Ai, Bi and Ci are constant matrix, i = 1, 2, S is set of solution of the ||A1XB1-C1||2F+|| A2XB2-C2||2F=min. Let Xo is determinate matrix, seatch X in S, such that||X - Xo||F=In this paper, we obtain that the expression of above problem by using results in [6].