In this paper, the concept of congruent diagonalization of matrix is presented, and the problem of diagonalization of one matrix is generalized.

• 提出矩阵合同对角化概念,对一个矩阵对角化问题进行推广思考,讨论了二个矩阵的同时对角化问题,取得了一些结果,给出了有关算