P-亚对称矩阵的反问题研究

The Inverse Problem for P-subsymmetric Matrices

利用矩阵的奇异值分解及张量积与拉直的性质,讨论了P-亚对称矩阵的反问题,得到了此类矩阵反问题有解的充分必要条件及通解表达式,并给出了矩阵方程解集合中与给定矩阵的最佳逼近解的表达式.

By using the singular value decomposition of the matrics, this paper discussed the inverse problem for P-subsymmetric matrices. The necessity and sufficient conditions for the solvability for this kind of inverse problem have been given. The general form of the solution has been provided.