Optimization Toolbox

Function Reference

This chapter provides detailed descriptions of the functions in the Optimization Toolbox. It contains:

Functions by Category

This section lists the Optimization Toolbox functions by the type of optimization to which they apply. It also lists demos of large-scale methods and medium-scale methods.

Minimization

Function
Purpose

fgoalattain
Multiobjective goal attainment

fminbnd
Scalar nonlinear minimization with bounds

fmincon
Constrained nonlinear minimization

fminimax
Minimax optimization

fminsearch, fminunc
Unconstrained nonlinear minimization

fseminf
Semi-infinite minimization

linprog
Linear programming

quadprog
Quadratic programming

Function	Purpose
`fgoalattain`	Multiobjective goal attainment
`fminbnd`	Scalar nonlinear minimization with bounds
`fmincon`	Constrained nonlinear minimization
`fminimax`	Minimax optimization
`fminsearch, fminunc`	Unconstrained nonlinear minimization
`fseminf`	Semi-infinite minimization
`linprog`	Linear programming
`quadprog`	Quadratic programming

Equation Solving

Function
Purpose

\
Use \ (left division) to solve linear equations. See the Arithmetic Operators reference page.

fsolve
Nonlinear equation solving

fzero
Scalar nonlinear equation solving

Function	Purpose
`\`	Use \ (left division) to solve linear equations. See the Arithmetic Operators reference page.
`fsolve`	Nonlinear equation solving
`fzero`	Scalar nonlinear equation solving

Least Squares (Curve Fitting)

Function
Purpose

\
Use \ (left division) for linear least squares with no constraints. See the Arithmetic Operators reference page.

lsqlin
Constrained linear least squares

lsqcurvefit
Nonlinear curve fitting

lsqnonlin
Nonlinear least squares

lsqnonneg
Nonnegative linear least squares

Function	Purpose
`\`	Use \ (left division) for linear least squares with no constraints. See the Arithmetic Operators reference page.
`lsqlin`	Constrained linear least squares
`lsqcurvefit`	Nonlinear curve fitting
`lsqnonlin`	Nonlinear least squares
`lsqnonneg`	Nonnegative linear least squares

Utility

Function
Purpose

optimset, optimget
Parameter setting

Function	Purpose
`optimset, optimget`	Parameter setting

Demos of Large-Scale Methods

From the MATLAB Help Browser, click the demo name to run the demo. Look for information and additional instructions in the MATLAB command window.

Demo
Purpose

circustent
Quadratic programming to find shape of a circus tent

molecule
Molecule conformation solution using unconstrained nonlinear minimization

optdeblur
Image deblurring using bounded linear least squares

Demo	Purpose
`circustent`	Quadratic programming to find shape of a circus tent
`molecule`	Molecule conformation solution using unconstrained nonlinear minimization
`optdeblur`	Image deblurring using bounded linear least squares

Demos of Medium-Scale Methods

From the MATLAB Help Browser, click the demo name to run the demo. Look for information and additional instructions in the MATLAB command window.

Demo
Purpose

bandemo
Minimization of the banana function

dfildemo
Finite-precision filter design (requires the Signal Processing Toolbox)

goaldemo
Goal attainment example

optdemo
Menu of demo routines

tutdemo
Script for the medium scale algorithms. The script follows the Tutorial chapter of the Optimization Toolbox User's Guide.

Demo	Purpose
`bandemo`	Minimization of the `banana` function
`dfildemo`	Finite-precision filter design (requires the Signal Processing Toolbox)
`goaldemo`	Goal attainment example
`optdemo`	Menu of demo routines
`tutdemo`	Script for the medium scale algorithms. The script follows the Tutorial chapter of the Optimization Toolbox User's Guide.

Reference Function Arguments