RT Report T1 Solving nonlinear rational expectations models by eigenvalue-eigenvector decompositions A1 Novales Cinca, Alfonso Santiago A1 Domínguez Irastorza, Emilio A1 Pérez, Javier A1 Ruiz Andújar, Jesús AB We provide a summarized presentation of solution methods for rational expectations models, based on eigenvalue/eigenvector decompositions. These methods solve systems of stochastic linear difference equations by relying on the use of stability conditions derived from the eigenvectors associated to unstable eigenvalues of the coefficient matrices in the system. For nonlinear models, a linear approximation must be obtained, and the stability conditions are approximate, This is however, the only source of approximation error, since the nonlinear structure of the original model is used to produce the numerical solution. After applying the method to a baseline stochastic growth model, we explain how it can be used: i) to salve some identification problems that may arise in standard growth models, and ii) to solve endogenous growth models. PB Facultad de Ciencias Económicas y Empresariales. Instituto Complutense de Análisis Económico (ICAE) YR 1998 FD 1998 LK https://hdl.handle.net/20.500.14352/64209 UL https://hdl.handle.net/20.500.14352/64209 LA eng DS Docta Complutense RD 30 mar 2026