利用埃尔米特反自反矩阵的表示定理,推导了其最小二乘问题的表达式,并给出了左右逆特征值问题可解的充分必要条件及其解的一般表达式。最后对任意一个阶复矩阵,给出了相关的最佳逼近问题解的表达形式。
By means of the properties of the Hermitian-Antireflexive matrix,the least-square solution of the left and right inverse eigenvalue problem of Hermitian-Antireflexive matrix is derived and the necessary and sufficient conditions of the problem are considered and then the general expression of the solution is presented.Finally,for any given n order of complex matrix,the expression of the solution for relevant optimal approximate problem is presented.