线性流形上的一类矩阵反问题及其最佳逼近(英文)

A Class of Inverse Problems of Matrices and Its Best Approximation on the Linear Manifold

研究了线性流形上的子空间上半正定阵反问题，给出了这些问题可解的充要条件、通解以及最佳逼近解．

This paper studies inverse problems of matrices positive semidefinite on a subspace in a linear manifold, the necessary and sufficient conditions for the solvability, the general solution and the best approximation solution of these problems are given.