@Article{JCM-19-15, author = {Arieh Iserles}, title = {A Magnus Expansion for the Equation $Y'= AY - YB^*$}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {1}, pages = {15--26}, abstract = {

The subject matter of this paper is the representation of the solution of the linear differential equation $Y'= AY - YB, Y(0) = Y_0,$ in the form $Y(t) = e^{Ω(t)}Y_0$ and the representation of the function n as a generalization of the classical Magnus expansion. An immediate application is a new recursive algorithm for the derivation of the Baker-Campbell-Hausdorff formula and its symmetric generalisation.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8953.html} }