Hermite广义Hamilton矩阵反问题解存在的条件

Solvable conditions for inverse problems of Hermitian generalized Hamiltonian matrices

研究了Hermite广义Hamilton矩阵反问题及其最佳逼近问题,分析了Hermite广义Hamil ton矩阵的性质和结构,给出了Hermite广义Hamilton矩阵反问题有解的充分必要条件,并在有解的情况下。

An inverse problem of Hermitian generalized Hamiltonian matrices and its optimal approximation problem are considered. The properties and structures of Hermitian generalized Hamiltonian matrices are analyzed. Some sufficient and necessary conditions for the existence of the solutions are obtained. A general representation of solution is derived for a solvable case and an expression of the solution for the optimal approximation problem is given.