解特征值反问题的李群算法  

Lie Group Method for Solving Inverse Eigenvalues Problem

作　　者：田益民[1] 张永明[1] 王丹[1] 

机构地区：[1]北京印刷学院基础部,北京102600

出　　处：《北京印刷学院学报》2006年第6期22-23,共2页Journal of Beijing Institute of Graphic Communication

摘　　要：李群算法是一种流形上的算法,是保结构算法的一类。李群算法可以使微分方程的数值解保持在同一流形上,从而取得比较好的数值结果。研究了解特征值反问题的等谱流方法及其李群算法,我们取的李群是正交群。The lie group method is a kind of algorithm that keeps the numeric solution on the same manifold, so it is a particular type of structure, preserving the algorithm and the numeric solution being improved. The isospectral flows method for solving inverse the cigenvalues problem and its lie group method are studied in this paper, while the corresponding lie group is orthogonal group.

关 键 词：流形 正交群 等谱流 特征值反问题 

分 类 号：O241.82[理学—计算数学]