IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v25y2005i1p167-187.html
   My bibliography  Save this article

Solving SDGE Models: A New Algorithm for the Sylvester Equation

Author

Listed:
  • OndŘej KamenÍk

Abstract

This paper presents a new numerical algorithm for solving the Sylvester equation involved in higher-order perturbation methods developed for solving stochastic dynamic general equilibrium models. The new algorithm surpasses other methods used so far (including the very popular doubling algorithm) in terms of computational time, memory consumption, and numerical stability. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • OndŘej KamenÍk, 2005. "Solving SDGE Models: A New Algorithm for the Sylvester Equation," Computational Economics, Springer;Society for Computational Economics, vol. 25(1), pages 167-187, February.
    • Handle: RePEc:kap:compec:v:25:y:2005:i:1:p:167-187
    DOI: 10.1007/s10614-005-6280-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10614-005-6280-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10614-005-6280-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Anderson, Evan W. & McGrattan, Ellen R. & Hansen, Lars Peter & Sargent, Thomas J., 1996. "Mechanics of forming and estimating dynamic linear economies," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 4, pages 171-252, Elsevier.
    2. Laxton, Douglas & Pesenti, Paolo, 2003. "Monetary rules for small, open, emerging economies," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1109-1146, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Juillard Michel, 2011. "Local approximation of DSGE models around the risky steady state," wp.comunite 0087, Department of Communication, University of Teramo.
    2. Gomme, Paul & Klein, Paul, 2011. "Second-order approximation of dynamic models without the use of tensors," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 604-615, April.
    3. Junior Maih, 2014. "Efficient Perturbation Methods for Solving Regime-Switching DSGE Models," Working Papers No 10/2014, Centre for Applied Macro- and Petroleum economics (CAMP), BI Norwegian Business School.
    4. Lan, Hong & Meyer-Gohde, Alexander, 2013. "Solving DSGE models with a nonlinear moving average," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2643-2667.
    5. Hong Lan & Alexander Meyer-Gohde, 2012. "Existence and Uniqueness of Perturbation Solutions to DSGE Models," SFB 649 Discussion Papers SFB649DP2012-015, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    6. Martin M. Andreasen, 2010. "How Non-Gaussian Shocks Affect Risk Premia in Non-Linear DSGE Models," CREATES Research Papers 2010-63, Department of Economics and Business Economics, Aarhus University.
    7. Alena Bicakova & Kamil Dybczak & Ales Krejdl & Jiri Slacalek & Michal Slavik, 2007. "CNB Economic Research Bulletin: Fiscal Policy and its Sustainability," Occasional Publications - Edited Volumes, Czech National Bank, edition 2, volume 5, number rb05/2 edited by Ian Babetskii & Vladimir Bezdek, January.
    8. Ian Babetskii & Ales Bulir & Fabrizio Coricelli & Jan Filacek & Michal Franta & Roman Horvath & Branislav Saxa & Katerina Smidkova, 2008. "CNB Economic Research Bulletin: Ten Years of Inflation Targeting," Occasional Publications - Edited Volumes, Czech National Bank, edition 1, volume 6, number rb06/1 edited by Ian Babetskii & Katerina Smidkova, January.
    9. Andrew Binning, 2013. "Solving second and third-order approximations to DSGE models: A recursive Sylvester equation solution," Working Paper 2013/18, Norges Bank.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2001. "Comparing dynamic equilibrium economies to data," FRB Atlanta Working Paper 2001-23, Federal Reserve Bank of Atlanta.
    2. Pelin Ilbas, 2006. "Optimal Monetary Policy rules for the Euro area in a DSGE framework," Working Papers of Department of Economics, Leuven ces0613, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    3. Chatelain, Jean-Bernard & Ralf, Kirsten, 2020. "Hopf Bifurcation from New-Keynesian Taylor Rule to Ramsey Optimal Policy," EconStor Open Access Articles, ZBW - Leibniz Information Centre for Economics.
    4. Chao, Hui-Ping, 1998. "Regime Switching In Us Livestock Cycles," 1998 Annual meeting, August 2-5, Salt Lake City, UT 20824, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Chatelain, Jean-Bernard & Ralf Kirsten, 2016. "Countercyclical versus Procyclical Taylor Principles," EconStor Preprints 129796, ZBW - Leibniz Information Centre for Economics.
    6. Cook, David & Devereux, Michael B., 2006. "External currency pricing and the East Asian crisis," Journal of International Economics, Elsevier, vol. 69(1), pages 37-63, June.
    7. Jérôme Creel & Sandrine Levasseur, 2004. "How would a fixed-exchange-rate regime fit the transition economies?. The cases of the Czech Republic, Hungary and Poland," Revue de l'OFCE, Presses de Sciences-Po, vol. 91(5), pages 83-120.
    8. Ippei Fujiwara & Yasuo Hirose & Mototsugu Shintani, 2011. "Can News Be a Major Source of Aggregate Fluctuations? A Bayesian DSGE Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(1), pages 1-29, February.
    9. Linnea Polgreen & Pedro Silos, 2008. "Capital-Skill Complementarity and Inequality: A Sensitivity Analysis," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 302-313, April.
    10. Faruqee, Hamid & Laxton, Douglas & Muir, Dirk & Pesenti, Paolo, 2008. "Would protectionism defuse global imbalances and spur economic activity? A scenario analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 32(8), pages 2651-2689, August.
    11. Lim, G.C. & McNelis, Paul D., 2008. "Computational Macroeconomics for the Open Economy," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262123061, December.
    12. Holtemöller, Oliver & Mallick, Sushanta, 2016. "Global food prices and monetary policy in an emerging market economy: The case of India," Journal of Asian Economics, Elsevier, vol. 46(C), pages 56-70.
    13. Kumhof, Michael & Laxton, Doug & Naknoi, Kanda, 2005. "On the Benefits of Exchange Rate Flexibility under Endogenous Tradedness of Goods," Conference papers 331319, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    14. Marc P. Giannoni & Jean Boivin, 2005. "DSGE Models in a Data-Rich Environment," Computing in Economics and Finance 2005 431, Society for Computational Economics.
    15. Bayoumi, Tamim & Laxton, Douglas & Pesenti, Paolo, 2004. "Benefits and spillovers of greater competition in Europe: a macroeconomic assessment," Working Paper Series 341, European Central Bank.
    16. Kumhof, Michael & Laxton, Douglas & Leigh, Daniel, 2014. "To starve or not to starve the beast?," Journal of Macroeconomics, Elsevier, vol. 39(PA), pages 1-23.
    17. Ms. Silvia Sgherri & Mr. Tamim Bayoumi, 2009. "On Impatience and Policy Effectiveness," IMF Working Papers 2009/018, International Monetary Fund.
    18. International Monetary Fund, 2005. "United States: Selected Issues," IMF Staff Country Reports 2005/258, International Monetary Fund.
    19. Mr. Manmohan S. Kumar & Mr. Dennis P Botman, 2007. "Global Aging Pressures: Impact of Fiscal Adjustment, Policy Cooperation, and Structural Reforms," IMF Working Papers 2007/196, International Monetary Fund.
    20. Garcia, Carlos J. & Restrepo, Jorge E. & Tanner, Evan, 2011. "Fiscal rules in a volatile world: A welfare-based approach," Journal of Policy Modeling, Elsevier, vol. 33(4), pages 649-676, July.

    More about this item

    Keywords

    stochastic dynamic general equilibrium models; high-order permutations; computational algorithms;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:compec:v:25:y:2005:i:1:p:167-187. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.