关键词: 圆盘定理, 矩阵, 特征值, 捕鱼算法

Abstract: Based on the Gerschgorin disk theorem and the property of matrix eigenvalue, it translates the problem of solving eigenvalue into the minimization problem. With the Gerschgorin disk theorem to determinate the distribution region of matrix eigenvalues, it uses the simulating fishing optimization algorithm to solve approximate eigenvalues of matrix. The result of the experiment shows the accuracy and the convergence speed of this optimization algorithm are higher. So the algorithm represented by this paper is effective and feasible.

Key words: circular disk theorem, matrix, eigenvalues, fishing algorithm