A Note on the Uniqueness of Solutions to Rational Expectations Models

Klein (2000) advocates the use of the Schur decomposition of a matrix pencil o solve linear rational expectations (RE) models. Meanwhile his algorithm has ecome a center piece in several computer codes that provide approximate olutions to (non-linear) dynamic stochastic general equilibrium (DSGE) models. A ubtlety not resolved by Klein is whether or not a certain Schur decompostion ould fail to solve the model while a second one would provide a solution. We how that this cannot happen.