子矩阵约束下的Hermite-Hamilton矩阵反问题

The Inverse Problem of Hermitian-Hamiltonian Matrices with a Submatrix Constraint

该文讨论了子矩阵约束下矩阵反问题AX=B的Hermite-Hamilton矩阵解.给出了解存在的充要条件和通解的一般表达式.且对任一给定矩阵,在解集合中求出了其最佳逼近解.

The paper discusses the solutions of inverse problem AX = B for Hermitian- Hamiltonian matrices with a submatrix constraint, the sufficient and necessary conditions under which the problem is solvable are obtained, and the general expression of the solutions is given, Moreover, to an arbitrary given matrix, the relative optimal approximation solution in the solution set is presented.