Abstract: A method is proposed to analyze the structure of matrices including repeated symbols.The method uses the borders of closed regions to obtain the minimum row-column numbers of matrix by the minimum row-column numbers that every repeated symbol occupies.This method is composed of three parts: make the matrix elements normalized；search the restrictive relationship between the repeated symbols；determine the structure of matrix by the minimum row-column numbers represented by the repeated symbols.The experiments show the method can obtain the row-column numbers of complex matrix efficiently and determine the structure of matrices.

摘要： 提出了一种利用闭合区域确定矩阵中重复符号代表的最小行列数，从而得到矩阵最小行列数的方法。包含3个部分：矩阵元素归一化；寻找闭合区域，建立重复符号间的制约关系；通过重复符号间的关系得到重复符号代表的最小行列数，确定矩阵结构。实验表明，该方法能够正确快速地给出复杂矩阵的行列数，确定矩阵结构。