矩阵方程x^h≡E(modp)的一种简便解法

A SIMPLE SOLUTION TO THE MATRIX CONGRUENT EQUATION X^h≡E(modp)

给出了矩阵方程x^h三E(modp)的一种简便的解法,主要结果是文中的解的存在定理和构成定理,利用文中的结果可解碍方程的所有解。

In the paper, we studied the solution to the matrix congruent equation X^h≡E(modp). And the paper also proves the chief results: the theorem of solution's existence and the theorem of solution' construction. According to the results, we can find out all the basic solutions of the equation.