Convergence of the Magnus series Export

@misc{citeulike:835432, abstract = {The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals the fundamental solution of the differential equation. The question considered in this paper is: When does the series converge? The main result establishes a necessary condition for convergence, which improves on several earlier results.}, archivePrefix = {arXiv}, author = {Moan, Per C. and Niesen, Jitse}, citeulike-article-id = {835432}, citeulike-linkout-0 = {http://arxiv.org/abs/math.CA/0609198}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.CA/0609198}, day = {7}, eprint = {math.CA/0609198}, keywords = {mathematics, physics, quantum}, month = {Sep}, posted-at = {2006-09-11 23:10:37}, priority = {3}, title = {Convergence of the Magnus series}, url = {http://arxiv.org/abs/math.CA/0609198}, year = {2006} }

TY - ELEC ID - citeulike:835432 L3 - citeulike-article-id:835432 N2 - The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals the fundamental solution of the differential equation. The question considered in this paper is: When does the series converge? The main result establishes a necessary condition for convergence, which improves on several earlier results. TI - Convergence of the Magnus series KW - mathematics KW - physics KW - quantum AU - Moan, Per AU - Niesen, Jitse PY - 2006/Sep/07/ UR - http://arxiv.org/abs/math.CA/0609198 ER -