“Computing solutions to generalized equilibrium models by successive under-relaxation”
Editors: A. S. Manne
Generalized Equilibrium models typically consist of many thousands of simultaneous nonlinear equations. Computing the solution to such a system is non-trivial; however, surprisingly good results have been obtained using successive under-relaxation within Gauss-Seidel iterations. This paper presents some of the theoretical reasons why this method has been so reliable. Numerical results are presented on a moderate size test problem. Possibilities for more rapidly convergent algorithms are also presented.
Source: Economic Equilibrium: Model Formulation and Solution
Phillips, Robert. "Computing solutions to generalized equilibrium models by successive under-relaxation." In Economic Equilibrium: Model Formulation and Solution, 192-209. Ed. A. S. Manne. Berlin: Springer-Verlag, November 1985.