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Newton's Method (newtons_method)

version 5.5.0 (362 KB) by Tamas Kis
Calculates the root of a differentiable, univariate function using Newton's method.


Updated 03 Jan 2022

From GitHub

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newtons_method View Newton's Method (newtons_method) on File Exchange

Calculates the root of a differentiable, univariate, scalar-valued function using Newton's method.


root = newtons_method(f,df,x0)
root = newtons_method(f,df,x0,opts)


root = newtons_method(f,df,x0) returns the root of a function specified by the function handle f, where df is the derivative of (i.e. ) and x0 is an initial guess of the root. The default tolerance and maximum number of iterations are TOL = 1e-12 and imax = 1e6, respectively.

root = newtons_method(f,df,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 root estimates are returned if set to true; otherwise, only the converged root is returned (defaults to false)
  • TOL → tolerance (defaults to )
  • warningstrue if any warnings should be displayed, false if not (defaults to true)

Examples and Additional Documentation

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

Cite As

Tamas Kis (2022). Newton's Method (newtons_method) (, GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2021a
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.