Fixed-Point Iteration (fixed_point_iterat​ion)

Version 6.2.0 (330 KB) by Tamas Kis
Fixed-point iteration for finding the fixed point of a univariate, scalar-valued function.
3.0
(1)
384 Downloads
Updated 17 Oct 2022
View License on GitHub

fixed_point_iteration View Fixed Point Iteration (fixed_point_iteration) on File Exchange

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.

Examples and Additional Documentation

  • See "EXAMPLES.mlx" or the "Examples" tab on the File Exchange page for examples.
  • See "Root_Finding_Methods.pdf" (also included with download) for the technical documentation.

Cite As

Tamas Kis (2024). 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

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4.0.0.0

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3.0.1

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3.0.0

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2.0.1

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2.0.0

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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.