An algorithm competition: First-order iterations versus Newton-based techniques

DOI10.1016/S0165-1889(98)00013-XzbMath0913.90049MaRDI QIDQ1274212

Peter McAdam, Hope Pioro, Douglas Laxton, Michael Juillard

Publication date: 12 January 1999

Published in: Journal of Economic Dynamics \& Control (Search for Journal in Brave)

zbMATH Keywords

multicountry modelnonlinear forward-looking modelsworld economy

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Economic growth models (91B62) Computational methods for problems pertaining to operations research and mathematical programming (90-08)

Related Items (10)

Inexact Newton methods for model simulation ⋮ A simple but powerful simulated certainty equivalent approximation method for dynamic stochastic problems ⋮ MULTIDIMENSIONAL TRANSITIONAL DYNAMICS: A SIMPLE NUMERICAL PROCEDURE ⋮ The U. S. Phillips curve: The case for asymmetry ⋮ A sufficient condition for the existence and the uniqueness of a solution in macroeconomic models with perfect foresight ⋮ The Gauss-Seidel-quasi-Newton method: a hybrid algorithm for solving dynamic economic models ⋮ Krylov methods for solving models with forward-looking variables ⋮ Simple reordering techniques for expanding the convergence radius of first-order iterative techniques ⋮ The use of interval arithmetic in solving a non-linear rational expectation based multiperiod output-inflation process model: the case of the IN/GB method ⋮ The parametric path method: an alternative to Fair--Taylor and L--B--J for solving perfect foresight models.

Uses Software

• Dynare

Cites Work

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• Simple reordering techniques for expanding the convergence radius of first-order iterative techniques
• An alternative methodology for solving nonlinear forward-looking models
• Hybrid algorithms with automatic switching for solving nonlinear equation systems
• Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models
• The Solution of Linear Difference Models under Rational Expectations

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