Generalized Polar Decompositions in Matrix Exponential

摘要：

Matrix exponential, computation is a difficulty thing when the order of the matrix get big and big after discretion. When we use Lie group method to get numeric solution of a differential equation, we often face this problem.Li group method is a kind of prosperous method, its basic ideas is to keep the numeric solution in a manifold which is less than the Euclid space while bigger than the analytic solution manifold, so we can get more exact numeric solution than other method. So we discussed the generalized polar decompositions method for matrix exponential.

关键词： matrix exponential computation manifold generalized polar decompositions numericmethod

作者: Yimin Tian Ao Zhang

作者单位: Mathematics and Physics Division, Beijing Institute of Graphic Communication Beijing 102600, China

会议类型: 国际会议

会议名称: 2011 3nd International Conference on Mechanical and Electronics Engineering(2011年第三届机械与电子工程国际会议 ICMEE2011)

会议地点: 合肥

会议语种:英文

页码: 3023-3026

在线出版日期: 2011-09-23（万方平台首次上网日期，不代表论文的发表时间）