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A New Convergence Theorem for Successive Overrelaxation Iterations


  • Hughes Hallett, A J
  • Piscitelli, Laura


This paper contains a new convergence theorem for Gauss-Seidel (SOR) iterations for an arbitrary equation system. We use that theorem to show how to reorder equations and to extend their radius of convergence. It is not generally optimal to minimise the number or size of the above diagonal elements in a non-recursive system. Citation Copyright 1999 by Kluwer Academic Publishers.

Suggested Citation

  • Hughes Hallett, A J & Piscitelli, Laura, 1999. "A New Convergence Theorem for Successive Overrelaxation Iterations," Computational Economics, Springer;Society for Computational Economics, vol. 13(2), pages 163-175, April.
  • Handle: RePEc:kap:compec:v:13:y:1999:i:2:p:163-75

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    References listed on IDEAS

    1. Asea, Patrick K. & Zak, Paul J., 1999. "Time-to-build and cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1155-1175, August.
    2. Boucekkine, Raouf & Licandro, Omar & Paul, Christopher, 1997. "Differential-difference equations in economics: On the numerical solution of vintage capital growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 347-362.
    3. Fabrice Collard & Omar Licandro & Luis A. Puch, 2008. "The short-run Dynamics of Optimal Growth Model with Delays," Annals of Economics and Statistics, GENES, issue 90, pages 127-143.
    4. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 1998. "Creative Destruction, Investment Volatility, and the Average Age of Capital," Journal of Economic Growth, Springer, vol. 3(4), pages 361-384, December.
    5. de la Croix, David & Licandro, Omar, 1999. "Life expectancy and endogenous growth," Economics Letters, Elsevier, vol. 65(2), pages 255-263, November.
    6. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 2001. "Numerical solution by iterative methods of a class of vintage capital models," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 655-669, May.
    7. Raouf Boucekkine & David de la Croix & Omar Licandro, 2006. "Vintage Capital," Economics Working Papers ECO2006/8, European University Institute.
    8. Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
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    10. Raouf Boucekkine & David De La Croix & Omar Licandro, 2004. "MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 151-179.
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    Cited by:

    1. Hallett, A. J. Hughes & Piscitelli, Laura, 1998. "Simple reordering techniques for expanding the convergence radius of first-order iterative techniques," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1319-1333, August.

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