Sufficient conditions for the convergence of the Magnus expansion TeX Export

@misc{citeulike:2651222, abstract = {Two different sufficient conditions are given for the convergence of the Magnus expansion arising in the study of the linear differential equation \$Y' = A(t) Y\$. The first one provides a bound on the convergence domain based on the norm of the operator \$A(t)\$. The second condition links the convergence of the expansion with the structure of the spectrum of \$Y(t)\$, thus yielding a more precise characterization. Several examples are proposed to illustrate the main issues involved and the information on the convergence domain provided by both conditions.}, archivePrefix = {arXiv}, author = {Casas, Fernando}, citeulike-article-id = {2651222}, citeulike-linkout-0 = {http://arxiv.org/abs/0711.2381}, citeulike-linkout-1 = {http://arxiv.org/pdf/0711.2381}, day = {15}, eprint = {0711.2381}, keywords = {analysis, mathematics, physics, printed}, month = {Nov}, posted-at = {2008-04-11 00:47:10}, priority = {3}, title = {Sufficient conditions for the convergence of the Magnus expansion}, url = {http://arxiv.org/abs/0711.2381}, year = {2007} }

TY - ELEC ID - citeulike:2651222 L3 - citeulike-article-id:2651222 N2 - Two different sufficient conditions are given for the convergence of the Magnus expansion arising in the study of the linear differential equation $Y' = A(t) Y$. The first one provides a bound on the convergence domain based on the norm of the operator $A(t)$. The second condition links the convergence of the expansion with the structure of the spectrum of $Y(t)$, thus yielding a more precise characterization. Several examples are proposed to illustrate the main issues involved and the information on the convergence domain provided by both conditions. TI - Sufficient conditions for the convergence of the Magnus expansion KW - analysis KW - mathematics KW - physics KW - printed AU - Casas, Fernando PY - 2007/Nov/15/ UR - http://arxiv.org/abs/0711.2381 ER -