What Is Optimization Toolbox?

Quadratic Programming (QP) Subproblem ............. 3-31SQP Implementation .............................. 3-32Simplex Algorithm ................................ 3-39Multiobjective Optimization ........................ 3-43Introduction ...................................... 3-43Weighted Sum Method ............................. 3-46Epsilon-Constraint Method ......................... 3-47Goal Attainment Method ........................... 3-49Algorithm Improvements for the Goal AttainmentMethod ........................................ 3-50Selected Bibliography .............................. 3-534Large-Scale AlgorithmsTrust-Region Methods for Nonlinear Minimization ... 4-3Demos of Large-Scale Methods ...................... 4-6Preconditioned Conjugate Gradients ................ 4-7Algorithm ........................................ 4-7Linearly ConstrainedProblems ..................... 4-9Linear Equality Constraints ......................... 4-9Box Constraints ................................... 4-10Nonlinear Least-Squares ........................... 4-12Quadratic Programming ........................... 4-13Linear Least-Squares .............................. 4-14Large-Scale Linear Programming ................... 4-15Introduction ...................................... 4-15xContents