Optimization Toolbox Getting Started What Is the Optimization Toolbox? Optimization Example The Problem Setting Up the Problem Finding the Solution More Examples Examples Tutorial Introduction Problems Covered by the Toolbox Using the Optimization Functions Medium- and Large-Scale Algorithms Examples That Use Standard Algorithms Unconstrained Minimization Example Nonlinear Inequality Constrained Example Constrained Example with Bounds Constrained Example with Gradients Gradient Check: Analytic Versus Numeric Equality Constrained Example Maximization Greater-Than-Zero Constraints Avoiding Global Variables via Anonymous and Nested Functions Nonlinear Equations with Analytic Jacobian Nonlinear Equations with Finite-Difference Jacobian Multiobjective Examples Large-Scale Examples Problems Covered by Large-Scale Methods Nonlinear Equations with Jacobian Nonlinear Equations with Jacobian Sparsity Pattern Nonlinear Least-Squares with Full Jacobian Sparsity Pattern Nonlinear Minimization with Gradient and Hessian Nonlinear Minimization with Gradient and Hessian Sparsity Pattern Nonlinear Minimization with Bound Constraints and Banded Preconditioner Nonlinear Minimization with Equality Constraints Nonlinear Minimization with a Dense but Structured Hessian and Equality Constraints Quadratic Minimization with Bound Constraints Quadratic Minimization with a Dense but Structured Hessian Linear Least-Squares with Bound Constraints Linear Programming with Equalities and Inequalities Linear Programming with Dense Columns in the Equalities Default Options Settings Changing the Default Settings Displaying Iterative Output Most Common Output Headings Function-Specific Output Headings Calling an Output Function Iteratively What the Example Does The Output Function Creating the M-File for the Example Running the Example Optimizing Anonymous Functions Instead of M-Files Typical Problems and How to Deal with Them Selected Bibliography Standard Algorithms Optimization Overview Unconstrained Optimization Quasi-Newton Methods Line Search Quasi-Newton Implementation Hessian Update Line Search Procedures Least-Squares Optimization Gauss-Newton Method Levenberg-Marquardt Method Nonlinear Least-Squares Implementation Nonlinear Systems of Equations Gauss-Newton Method Trust-Region Dogleg Method Nonlinear Equations Implementation Constrained Optimization Sequential Quadratic Programming (SQP) Quadratic Programming (QP) Subproblem SQP Implementation Simplex Algorithm Multiobjective Optimization Introduction Goal Attainment Method Algorithm Improvements for Goal Attainment Method Selected Bibliography Large-Scale Algorithms Trust-Region Methods for Nonlinear Minimization Preconditioned Conjugate Gradients Linearly Constrained Problems Linear Equality Constraints Box Constraints Nonlinear Least-Squares Quadratic Programming Linear Least-Squares Large-Scale Linear Programming Main Algorithm Preprocessing Selected Bibliography Functions -- Categorical List Minimization Equation Solving Least Squares (Curve Fitting) Utility Demos of Large-Scale Methods Demos of Medium-Scale Methods Function Arguments Input Arguments Output Arguments Optimization Options Output Function Functions -- Alphabetical List Release Notes Optimization Toolbox 3.0.1 Release Notes Major Bug Fixes Optimization Toolbox 3.0 Release Notes New Features Binary Integer Programming New Medium Scale Algorithm for fminunc Output hessian Now Returns Finite-Difference Approximation New Values for exitflag New Field for Output Argument New Option FunValCheck New Way to Provide Parameters to Functions Called by Optimization Functions Major Bug Fixes Optimization Toolbox 2.3 Release Notes New Features Output Function Revised Simplex Algorithm DerivativeCheck Option Major Bug Fixes Optimization Toolbox 2.2 Release Notes New Features New fsolve Default Algorithm Function Summary Major Bug Fixes Upgrading from an Earlier Release fsolve Now Defaults to New Medium-Scale Method Use playshow Command to Run Slideshow Style Demos Optimization Toolbox 2.1.1 Release Notes New Features Support for Large Problems that Are Not Well-Scaled Major Bug Fixes Upgrading from an Earlier Release Optimization Toolbox 2.1 Release Notes New Features Toolbox Speed Function Handles Large Structured Problems Functions with New or Changed Capabilities Major Bug Fixes Upgrading from an Earlier Release Printable Documentation (PDF) Product Page (Web)