# Documentation

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# `Iterations`, `StartingPoint`

Number of iterations in plot::Iteration

MATLAB live scripts support most MuPAD functionality, though there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.

## Value Summary

 `Iterations`, `StartingPoint` Optional MuPAD® expression

## Graphics Primitives

ObjectsDefault Values
`plot::Iteration`

`Iterations`: `10`

## Description

`Iterations` and `StartingPoints` are special attributes for iteration objects of type `plot::Iteration`. `StartingPoint` sets the starting point, `Iterations` sets the number of iteration steps.

The call `it := plot::Iteration(f, x_0, n, x = `x_{min}`..`x_{max}`)` yields a visualization of the iteration xi = f(xi - 1) of the starting point `x0` with i = 1, …, n. The values `x0` and `n` are stored as the attributes `StartingPoint` = `x0` and `Iterations` = `n` in the iteration object `it`. The values can be accessed and changed as the slots `it::StartingPoint` and `it::Iterations`, respectively.

These attributes can be animated.

## Examples

### Example 1

We define and plot an iteration object:

```f := plot::Function2d(exp(-2*x), x = 0..1): g := plot::Function2d(x, x = 0..1): it := plot::Iteration(exp(-2*x), 0.2, 5, x = 0..1): plot(f, g, it)```

The starting point x0 = 0.2 and the number of iteration steps 5 are stored inside the iteration object:

`it::StartingPoint, it::Iterations`

We change these values:

```it::StartingPoint := 0.1: it::Iterations := 30: plot(f, g, it)```

`delete f, g, it:`