the implemen- tation of Lie group methods on the Stiefel manifold Export

@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...}, author = {Celledoni, E. and Owren, B.}, citeulike-article-id = {71331}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.2737}, keywords = {group, lie, lyndon, words}, posted-at = {2004-12-30 12:57:01}, title = {the implemen- tation of Lie group methods on the Stiefel manifold}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.2737}, year = {2001} }

TY - GEN ID - citeulike:71331 L3 - citeulike-article-id:71331 N2 - 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... TI - the implemen- tation of Lie group methods on the Stiefel manifold KW - group KW - lie KW - lyndon KW - words AU - Celledoni, E AU - Owren, B PY - 2001/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.2737 ER -