D对称非负定矩阵反问题解存在的条件

The Solvability Conditions for the Inverse Problem of D-symmetric Nonnegative Definite Matrix

建立了D对称非负定矩阵反问题可解的充分必要条件,并给出了解的一般表达式,而且就相关的最佳逼近问题给出了惟一解的表达式.

Some necessary and sufficient conditions have been established for the solvability of the inverse problem of the D-symmetric nonnegative definite matrix, and a general expression of the solutions is proposed. Moreover, the expression of the optimal approximate solution has been obtained.