Advances in Optimization and Numerical Analysis

1. Analysis of Interior-Point Methods for Linear Programming Problems with Variable Upper Bounds.- 2. On the Complexity of the Simplex Method.- 3. The Linear Complementarity Problem.- 4. A Direct Search Optimization Method that Models the Objective and Constraint Functions by Linear Interpolation.- 5. A Truncated SQP Algorithm for Large Scale Nonlinear Programming Problems.- 6. Performance of a Multifrontal Scheme for Partially Separable Optimization.- 7. Towards Second-Order Methods for Structured Nonsmooth Optimization.- 8. Homotopy Methods in Control System Design and Analysis.- 9. How to Properly Relax Delayed Controls.- 10. On Operator Extensions: the Algebraic Theory Approach.- 11. Global Space-time Finite Element Methods for Time-dependent Convection Diffusion Problems.- 12. Eulerian-Lagrangian Localized Adjoint Methods for Variable-Coefficient Advective-Diffusive-Reactive Equations in Groundwater Contaminant Transport.- 13. The Communication Patterns of Nested Preconditionings for Massively Parallel Architectures.- 14. Smoothness and Superconvergence for Approximate Solutions to the One Dimensional Monoenergetic Transport Equation.- 15. Experiments with the Power and Arnoldi Methods for Solving the Two-Group Neutron Diffusion Eigen-value Problem.- 16. Computational Study of a Free-Boundary Model.- 17. Numerical Approximation to a Class of Weakly Singular Integral Operators.- 18. Directional Second Derivative of the Regularized Function that Smoothes the Min-Max Problem.