by Wong Oi Ping. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 77-79). / Abstracts in English and Chinese. / Chapter 1 --- LP-minimizing and Stationary Sequences --- p.8 / Chapter 1.1 --- Residual function --- p.8 / Chapter 1.2 --- Minimizing sequences --- p.14 / Chapter 1.3 --- Stationary sequences --- p.17 / Chapter 1.4 --- On the equivalence of minimizing and stationary se- quence --- p.21 / Chapter 1.5 --- Complementarity conditions --- p.25 / Chapter 1.6 --- Subdifferential-based stationary sequence --- p.29 / Chapter 1.7 --- Convergence of an Iterative Algorithm --- p.32 / Chapter 2 --- Minimizing And Stationary Sequences In Nonsmooth Optimization --- p.38 / Chapter 2.1 --- Subdifferential --- p.38 / Chapter 2.2 --- Stationary and minimizing sequences --- p.40 / Chapter 2.3 --- C-convex and BC-convex function --- p.43 / Chapter 2.4 --- Minimizing sequences in terms of sublevel sets --- p.44 / Chapter 2.5 --- Critical function --- p.48 / Chapter 3 --- Optimization Conditions --- p.52 / Chapter 3.1 --- Introduction --- p.52 / Chapter 3.2 --- Second-order necessary and sufficient conditions with- out constraint --- p.55 / Chapter 3.3 --- The Lagrange and G-functions in constrained problems --- p.63 / Chapter 3.4 --- Second-order necessary conditions for constrained prob- lems --- p.73 / Chapter 3.5 --- Sufficient conditions for constrained problems --- p.74 / Bibliography