## Fixed-Point Iteration (fixed_point_iterat​ion)

version 5.5.0 (212 KB) by
Calculates the fixed point of a univariate function using fixed-point iteration.

Updated 03 Jan 2022

From GitHub

# `fixed_point_iteration`

Calculates the fixed point of a univariate, scalar-valued function using fixed-point iteration.

## Syntax

`c = fixed_point_iteration(f,x0)`
`c = fixed_point_iteration(f,x0,opts)`

## Description

`c = fixed_point_iteration(f,x0)` returns the fixed point of a function specified by the function handle `f`, where `x0` is an initial guess of the fixed point. The default tolerance and maximum number of iterations are `TOL = 1e-12` and `imax = 1e6`, respectively.

`c = fixed_point_iteration(f,x0,opts)` does the same as the syntax above, but allows for the specification of optional solver parameters. `opts` is a structure that has the following fields:

• `imax` → maximum number of iterations (defaults to )
• `return_all` → all intermediate fixed point estimates are returned if set to `true`; otherwise, only the converged fixed point is returned (defaults to `false`)
• `TOL` → tolerance (defaults to )
• `warnings``true` if any warnings should be displayed, `false` if not (defaults to `true`)

• See "EXAMPLES.mlx" or the "Examples" tab on the File Exchange page for examples.

### Cite As

Tamas Kis (2022). Fixed-Point Iteration (fixed_point_iteration) (https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v5.5.0), GitHub. Retrieved .

##### MATLAB Release Compatibility
Created with R2021a
Compatible with any release
##### Platform Compatibility
Windows macOS Linux