从幂级数计算李变换:界限与最优截断
chao-dyn
2008-02-03 v1 混沌动力学
摘要
所考虑的问题是从给定的收敛幂级数计算由递增阶数的齐次多项式生成的李变换的无限乘积(复合)。计算了李变换无穷小形式的界限。所得结果不保证乘积的收敛性。相反,通过最小化在前n个李变换应用后剩余的n+1阶项来确定最优截断。
引用
@article{arxiv.chao-dyn/9410011,
title = {Computation of Lie Transformations from a Power Series: Bounds and Optimum Truncation},
author = {Ivan Gjaja},
journal= {arXiv preprint arXiv:chao-dyn/9410011},
year = {2008}
}
备注
26 pages, 3 figures (included) file is uuencoded LATEX with macros ps version available from the author