## Fixed-Point Iteration (fixed_point_iterat​ion)

Version 6.2.0 (330 KB) by
Fixed-point iteration for finding the fixed point of a univariate, scalar-valued function.

Updated 17 Oct 2022

From GitHub

# fixed_point_iteration

Fixed-point iteration for finding the fixed point of a univariate, scalar-valued function.

## Syntax

c = fixed_point_iteration(f,x0)
c = fixed_point_iteration(f,x0,opts)
[c,k] = fixed_point_iteration(__)
[c,k,c_all] = fixed_point_iteration(__)

## 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.

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 with the following fields:

• k_max → maximum number of iterations (defaults to 200)
• return_all → returns estimates at all iteration if set to true (defaults to false)
• TOL → tolerance (defaults to )

[c,k] = fixed_point_iteration(__) also returns the number of iterations (k) performed of fixed-point iteration.

[c,k,c_all] = fixed_point_iteration(__) does the same as the previous syntaxes, but also returns an array (c_all) storing the fixed point estimates at each iteration. This syntax requires that opts.return_all be set to true.

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

### Cite As

Tamas Kis (2023). Fixed-Point Iteration (fixed_point_iteration) (https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v6.2.0), GitHub. Retrieved .

##### MATLAB Release Compatibility
Created with R2021b
Compatible with any release
##### Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
6.2.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v6.2.0

6.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v6.1.0

6.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v6.0.1

6.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v6.0.0

5.5.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v5.5.0

5.4.1

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v5.4.1

5.4.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v5.4.0

5.3.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v5.3.0

5.2.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v5.2.0

5.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v5.1.0

5.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v5.0.0

4.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v4.0.1

3.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v3.0.1

3.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v3.0.0

2.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v2.0.1

2.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v2.0.0

1.0.4

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v1.0.4

1.0.3

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v1.0.3

1.0.2

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v1.0.2

1.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v1.0.1

1.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.