Robert Michael Lewis

• A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds
• A nonlinear programming perspective on sensitivity calculations for systems governed by state equations
• A posteriori finite element bounds for sensitivity derivatives of partial-differential-equation outputs
• Direct search methods
• Numerical computation of sensitivities and the adjoint approach
• Pattern search algorithms for bound constrained minimization
• Pattern search methods for linearly constrained minimization
• Practical aspects of variable reduction formulations and reduced basis algorithms in multidisciplinary design optimization
• Rank ordering and positive bases in pattern search algorithms
• Three Conversions of the Christian Life
• Why pattern search works