Hermite广义反Hamilton矩阵反问题的最小二乘解

Least-square solutions of inverse problem for Hermitian and generalized skew-Hamilton Matrices

讨论了Hermite广义反Hamilton矩阵反问题的最小二乘解,得到了解的具体表达式.并讨论了用Hermite广义反Hamilton矩阵构造给定矩阵的最佳逼近问题,给出了该问题有解的充要条件和解的表达式.

The least-square solutions of the inverse problem of Hermite and generalized skew-Hamilton matrices is discussed, and an expression of the solution is obtained. In addition, a problem of using Hermite and generalized skew-Hamilton matrices to construct the optimalapproximation to a given matrix is discussed, the necessary and sufficient conditions for this problem are derived, and the expression of the solution is given.