Griva, IgorBloom, Veronica2014-09-182014-09-182014-05https://hdl.handle.net/1920/8891Although many efficient solvers exist for solving nonlinear optimization problems, there is none that performs well on all problems or outperforms all methods. Therefore, developing new methods for solving optimization problems continues to be important. Exterior-point methods (EPMs) for solving nonlinear optimization problems have promising convergence properties established by theoretical analysis, but no numerically efficient implementation of exterior-point methods exists.211 pagesenCopyright 2014 Veronica BloomApplied mathematicsMathematicsComputer scienceExterior-point methodNonlinear optimizationNonlinear rescaled augmented LagrangianPrimal-dual methodsSupport vector machineDissertation