摘要
通过研究求严格对角占优对称矩阵最大单特征值的 Jacobi方法 ,对其进行推广 ,得到了可同时求严格对角占优对称矩阵的几个最大重特征值或密集特征值的块 Jacobi方法 ,并且说明了块 Davidson方法可看作加速的块 Jacobi方法 ,并举了数值例子对这 2种方法进行了比较和分析。
In this paper, Jacobi iteration method (JOCC) is considered for finding approximation of the largest simple eigenvalue of a strongly diagonally dominant symmetric matrix, and block Jacobi iteration method is proposed for simultaneously computing a few of approximations of the largest eigenvalues of strongly diagonally dominant symmetric matrix, and it is shown that the block Davidson method can be referred to as an accelerated block Jacobi iteration method, and then some results of numerical test are presented so as to compare and analyse them.
出处
《解放军理工大学学报（自然科学版）》
EI
2003年第5期100-102,共3页
Journal of PLA University of Science and Technology(Natural Science Edition)
关键词
对称矩阵
特征值
严格对角占优矩阵
symmetric matrix
eigenvalues
strongly diagonally dominant symmetric matrix
