| Optimization Toolbox |
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- Using This Guide
- Related Products
- Typographical Conventions
- What Is the Optimization Toolbox?
- New Features in Version 2.2
- New fsolve Default Algorithm
- Configuration Information
- Technical Conventions
- Matrix, Vector, and Scalar Notation
- Acknowledgments
- Introduction
- Problems Covered by the Toolbox
- Using the Optimization Functions
- 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
- Additional Arguments: Avoiding Global Variables
- 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 Parameter Settings
- Changing the Default Settings
- Displaying Iterative Output
- Output Headings: Medium-Scale Algorithms
- Output Headings: Large-Scale Algorithms
- Optimization of Inline Objects Instead of M-Files
- Typical Problems and How to Deal with Them
- Converting Your Code to Version 2 Syntax
- Using optimset and optimget
- New Calling Sequences
- Example of Converting from constr to fmincon
- Selected Bibliography
- Optimization Overview
- Unconstrained Optimization
- Quasi-Newton Methods
- Line Search
- Quasi-Newton Implementation
- 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
- Multiobjective Optimization
- Introduction
- Goal Attainment Method
- Algorithm Improvements for Goal Attainment Method
- Selected Bibliography
- 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 - By Category
- 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 Parameters
- Functions - Alphabetical List
| | Preface | |