%0 Generic %1 citeulike:71331 %A Celledoni, E. %A Owren, B. %D 2001 %K group lie lyndon words %T the implemen- tation of Lie group methods on the Stiefel manifold %U http://citeseer.ist.psu.edu/celledoni01implementation.html %X There are several applications in which one needs to integrate a system of ODEs whose solution is an n p matrix with orthonormal columns. In recent papers algorithms of arithmetic complexity order np 2 have been proposed. The class of Lie group integrators may seem like a worth while alternative for this class of problems, but it has not been clear how to implement such methods with O(np 2 ) complexity. In this paper we show how Lie group methods can be implemented in a computationally...

@misc{citeulike:71331, abstract = {There are several applications in which one needs to integrate a system of ODEs whose solution is an n p matrix with orthonormal columns. In recent papers algorithms of arithmetic complexity order np 2 have been proposed. The class of Lie group integrators may seem like a worth while alternative for this class of problems, but it has not been clear how to implement such methods with O(np 2 ) complexity. In this paper we show how Lie group methods can be implemented in a computationally...}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Celledoni, E. and Owren, B.}, biburl = {https://www.bibsonomy.org/bibtex/23ffd78b8e355a2be2d2f9bd65087fd16/a_olympia}, citeulike-article-id = {71331}, description = {citeulike}, interhash = {8a6fa7277e7cf00218d5e19a7c7f938c}, intrahash = {3ffd78b8e355a2be2d2f9bd65087fd16}, keywords = {group lie lyndon words}, timestamp = {2007-08-18T13:22:58.000+0200}, title = {the implemen- tation of Lie group methods on the Stiefel manifold}, url = {http://citeseer.ist.psu.edu/celledoni01implementation.html}, year = 2001 }