ar X iv : 1 10 3 . 39 45 v 1 [ m at h . N A ] 2 1 M ar 2 01 1 On The Best Approximate Solutions of The Matrix Equation AXB
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چکیده
Suppose that the matrix equation AXB = C with unknown matrix X is given, where A, B, and C are known matrices of suitable sizes. The matrix nearness problem is considered over the general and least squares solutions of the matrix equation AXB = C when the equation is consistent and inconsistent, respectively. The implicit form of the best approximate solutions of the problems over the set of symmetric and the set of skew-symmetric matrices are established as well. Moreover, some numerical examples are given for the problems considered.
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تاریخ انتشار 2011