Secant Method (secant_method)

version 7.2.0 (412 KB) by Tamas Kis
Secant method for finding the root of a univariate, scalar-valued function.

235 Downloads

Updated 17 Oct 2022

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Secant method for finding the root of a univariate, scalar-valued function.

Syntax

x = secant_method(f,x0)
x = secant_method(f,x0,opts)
[x,k] = secant_method(__)
[x,k,x_all] = secant_method(__)

Description

x = secant_method(f,x0) returns the root of a function specified by the function handle f, where x0 is an initial guess of the root.

x = secant_method(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 )

[x,k] = secant_method(__) also returns the number of iterations (k) performed of the secant method.

[x,k,x_all] = secant_method(__) does the same as the previous syntaxes, but also returns an array (x_all) storing the root 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 (2022). Secant Method (secant_method) (https://github.com/tamaskis/secant_method-MATLAB/releases/tag/v7.2.0), GitHub. Retrieved .

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

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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.