Preface Part Ⅰ Invited Lectures 1 Adaptive Finite Element Methods Coupled with A Posteriori Error Estimates-an Optimization Tool for Solving Navier-Stokes Equations 2 Test Function Methods for Locating Bifurcation Parameters with Applications to Nonlinear Electrical Power Systems 3 Unified Convergence Analyses of Nonlinear Conjugate Gradient Methods 4 Variable Metric Methods for Monsmooth Optimization 5 Convergence of an Online Gradient Method for Neural Networks 6 Mathematical Modeling of Protein Structure Using Distance Geometry 7 Visualization of Large Chemical Databases with Application to Drug Design 8 Some Problems in Nonlinear Programming Part Contributed Papers 9 An Approximation Elliptic Trust Region Interior Point Algorithm Based upon A Logarithmic Barrier Function for Nonconvex Quadratic Programming 10 Some Nonmonotone Trust Region Algorithms and Their Convergence Analysis For LSP 11 Some Estimates for Eigenvalues and Singular Values of Schur Complements of Normal Matrices 12 An Outer Approximation Method For Solving The Biconcave Programs With Separable Linear Constraints 13 A Trust Region Algorithm Combined with Curved Path Line Search techniques 14 An Interval Algorithm for Global Minimizing Non-smooth Function of Several Variables 15 A Modified Evolutionary Algorithm with Chaos Sesrch for n-dimensional Global Optimization 16 Iterated Self-adaptive Regularization Method for Ⅲ-Posed Problems 17 A Smooth Trust-Region Algorithm for Mathematical Programs with Linear Complementarity Constraints 18 Search a Feasible Point of Polyhedral Set 19 Efficient Fast Algorithms for Some Nonlinearly Constrained Minimization Arising from Linear Inverse Problems