关于矩阵函数方程f(X)=A的解

Solutions of Matrix Function Equation f(X) = A

给出了复数域上矩阵函数方程f(X)=A有解的充要条件,其中A∈cn×n,f(x)为复值函数进一步给出可以用A的多项式来表示方程的解的允要条件.

We give the sufficient and necessary conditions of the solutions for matrix function equations f(X) = A , where A∈Cn×n. We study the expression of the solutions by the polynomial of A, also give the sufficient and necessary conditions.