Convergence of the Magnus series Export

@article{citeulike:4711563, 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 sufficient condition for convergence, which improves on several earlier results.}, archivePrefix = {arXiv}, author = {Moan, Per C. and Niesen, Jitse}, citeulike-article-id = {4711563}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0609198}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0609198}, day = {1}, eprint = {math/0609198}, keywords = {analysis, mathematics, physics, printed, quantum}, month = {Aug}, posted-at = {2009-06-01 22:02:26}, priority = {2}, title = {Convergence of the Magnus series}, url = {http://arxiv.org/abs/math/0609198}, year = {2007} }

TY - JOUR ID - citeulike:4711563 L3 - citeulike-article-id:4711563 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 sufficient condition for convergence, which improves on several earlier results. TI - Convergence of the Magnus series KW - analysis KW - mathematics KW - physics KW - printed KW - quantum AU - Moan, Per AU - Niesen, Jitse PY - 2007/Aug/01/ UR - http://arxiv.org/abs/math/0609198 ER -