What Is Optimization Toolbox?

Nonlinear Equations with Finite-Difference Jacobian .... 2-25Multiobjective Examples ............................ 2-26Large-Scale Examples .............................. 2-40Introduction ...................................... 2-40Problems Covered by Large-Scale Methods ............. 2-41Nonlinear Equations with Jacobian ................... 2-45Nonlinear Equations with Jacobian Sparsity Pattern .... 2-47Nonlinear Least-Squares with Full Jacobian SparsityPattern ........................................ 2-50Nonlinear Minimization with Gradient and Hessian ..... 2-51Nonlinear Minimization with Gradient and HessianSparsity Pattern ................................ 2-53Nonlinear Minimization with Bound Constraints andBanded Preconditioner ........................... 2-55Nonlinear Minimization with Equality Constraints ...... 2-59Nonlinear Minimization with a Dense but StructuredHessian and Equality Constraints .................. 2-61Quadratic Minimization with Bound Constraints ....... 2-65Quadratic Minimization with a Dense but StructuredHessian ....................................... 2-67Linear Least-Squares with Bound Constraints .......... 2-72Linear Programming with Equalities and Inequalities ... 2-73Linear Programming with Dense Columns in theEqualities ..................................... 2-75Default Options Settings ........................... 2-78Introduction ...................................... 2-78Changing the Default Settings ....................... 2-78Displaying Iterative Output ........................ 2-81Most Common Output Headings ..................... 2-81Function-Specific Output Headings ................... 2-82Calling an Output Function Iteratively .............. 2-88What the Example Does ............................ 2-88Output Function .................................. 2-89Creating the M-File for the Example .................. 2-90Running the Example .............................. 2-92Optimizing Anonymous Functions Instead ofM-Files ......................................... 2-95viiiContents