# OptimizationExpression

Arithmetic or functional expression in terms of optimization variables

## Description

An `OptimizationExpression`

is an arithmetic or functional
expression in terms of optimization variables. Use an
`OptimizationExpression`

as an objective function, or as a part of
an inequality or equality in a constraint or equation.

**Tip**

For the full workflow, see Problem-Based Optimization Workflow or Problem-Based Workflow for Solving Equations.

## Creation

Create an optimization expression by performing operations on `OptimizationVariable`

objects. Use standard MATLAB^{®} arithmetic including taking powers, indexing, and concatenation
of optimization variables to create expressions. See Supported Operations for Optimization Variables and Expressions and Examples.

You can also create an optimization expression from a MATLAB function applied to optimization variables by using `fcn2optimexpr`

. For examples, see Create Expression from Nonlinear Function and Problem-Based Nonlinear Optimization.

Create an empty optimization expression by using `optimexpr`

.
Typically, you then fill the expression in a loop. For examples, see Create Optimization Expression by Looping and the `optimexpr`

function reference page.

After you create an expression, use it as either an objective function, or as part of
a constraint or equation. For examples, see the `solve`

function reference page.

## Properties

## Object Functions

## Examples

## More About

## Version History

**Introduced in R2017b**