Under reasonable assumptions about production technologies, international competition for factors of production will lead to convergence of per capita output. Is there an analogous process that leads to convergence of public sector activity? We provide a simple model that predicts convergence in...

We consider iterative trust region algorithms for the unconstrained minimization of an objective function <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$F ( \underline{x})$</EquationSource> </InlineEquation>, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\underline{x}\in \mathcal{R}^{n}$</EquationSource> </InlineEquation>, when F is differentiable but no derivatives are available, and when each model of F is a linear or a quadratic polynomial. The...</equationsource></inlineequation></equationsource></inlineequation>