On matrix differential equations and abstract FG algorithm Original Research Article

There is well-known relationship between both the isospectral flows and the unitarily self-equivalent flows, and the abstract FG eigenvalue algorithm. Namely, the values of the isospectral and self-equivalent flows at integer times coincide with the iterates of FG algorithm. We show that such a relation is characteristic of a whole class of matrix differential equations. All these equations are built by means of various representations of an arbitrary Lie algebra on