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An Application of Sparse Methods to Solving a Multi-Country Model With Rational Expectations

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  • Gary S. Anderson

    (Board of Governors, Federal Reserve System, Washington)

Abstract

Anderson and Moore presents a procedure for solving linear perfect foresight models and Andersonn[Anderson1993] shows how to apply this technique to non linear models. The technique requires eigenvalue computations for a sparse linear system to deal with the long run dynamics and computations with large sparse band diagonal matrices for computing the nonlinear trajectory of the model variables. This paper applies methods for exploiting the special structure of these band diagonal linear systems Bai's SRRIT algorithm [Bai and Stewart1992] for computing vectors spanning the invariant space of a sparse linear system. These techniques dramatically reduce computational requirements while enhancing the accuracy and robustness of the original algorithm. The paper presents solution results for a variant of the multicountry model presented in Edison, Marques and Tyon

Suggested Citation

  • Gary S. Anderson, "undated". "An Application of Sparse Methods to Solving a Multi-Country Model With Rational Expectations," Computing in Economics and Finance 1996 _063, Society for Computational Economics.
    • Handle: RePEc:sce:scecf6:_063
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    References listed on IDEAS

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    1. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
    2. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    3. repec:adr:anecst:y:1990:i:17:p:04 is not listed on IDEAS
    4. Gilli, Manfred & Pauletto, Giorgio, 1997. "Sparse direct methods for model simulation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1093-1111, June.
    5. Boucekkine, Raouf, 1995. "An alternative methodology for solving nonlinear forward-looking models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 711-734, May.
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