This paper proposes a recursive procedure that characterizes the order of the pole and the coecients of the Laurent series representation of the inverse of a regular analytic matrix function. The algorithm consists in performing a finite sequence of rank factorizations of matrices of...

The present paper shows that there is a simple way to check whether a DSGE model can be represented by a finite order VAR. This consists in verifying that the eigenvalues of a certain matrix defined in Fernandez-Villaverde et al. (2007) are all equal to zero. Further we show that this condition...

The `local rank factorization' (lrf) of a regular matrix polynomial at an eigenvalue consists of a sequence of matrix rank factorizations of a certain function of its coecients; the lrf delivers the local Smith form and extended canonical systems of root functions that correspond to the...

This paper shows that the poor man's invertibility condition in Fernandez-Villaverde et al. (2007) is, in general, sufficient but not necessary for fundamentalness; that is, a violation of this condition does not necessarily imply the impossibility of recovering the structural shocks of a DSGE...

Solutions of DSGE models are usually represented by state space forms. This note shows that if one wishes to determine whether the observables of the model admit a finite order VAR representation, minimality of the state space representation of the solution matters. More specifically, we first...