实对称矩阵特征值问题的迭代块Jacobi-Davidson方法

通过组合块Jacobi方法和块Davidson方法，提出了一个新方法－块Jacobi-Davidson方法。它不仅是Jacobi-Davidson方法的推广而且改进了收敛性，适用于计算大型稀疏对称矩阵若干个最大或最小特征值及相应特征向量。最后给出了一些数值试验的结果，结果显示块Jacobi-Davidson方法是有效的。

Iterative Block Jacobi-Davidson Method of Real Symmetric Matrix Eigenvalue Problems

In this paper,Jacobi iteration method(JOCC) for finding approximation of the largest simple eigenvalue of a strongly diagonally dominant symmetric matrix was considered,and block Jacobi iteration method for simultaneously computing a few of approximations of the greatst eigenvalues of strongly diagonally dominant symmetric matrix was proposed,the block Davidson method referred to as an accelerated block Jacobi iteration method was demonstrated,and then some results of numerical test so as to compare and analyse them were presented.