View License

Download apps, toolboxes, and other File Exchange content using Add-On Explorer in MATLAB.

» Watch video

Highlights from

4.3 | 10 ratings Rate this file 22 Downloads (last 30 days) File Size: 3.38 KB File ID: #6924 Version: 1.4
image thumbnail



Loginatorist (view profile)


15 Feb 2005 (Updated )

Finds the root(s) of a function of one variable, including complex roots, using Newton's method.

| Watch this File

File Information

NEWTZERO(f,xr,n,tol) finds roots of function f near guess xr with n iterations to tolerance tol. May find more than one root, even if guess is way off. NEWTZERO often works to find complex roots where FZERO fails. See examples in help.
The initial guess, number of iterations, and tolerance are optional arguments.

NEWTZERO finds the roots of functions of only one variable!

Please email me about bugs or other concerns. Thanks.

MATLAB release MATLAB 7.4 (R2007a)
Tags for This File   Please login to tag files.
Please login to add a comment or rating.
Comments and Ratings (14)
27 Sep 2016 Hasan Abbas

25 Aug 2016 Sebastian Mieck

Great algorithm. Is there a way to get (and plot) convergence data?
Is there a way to terminate the main while loop earlier in combination with a convergence criterion (f.e. terminate if TolX and TolFun <= 1e-6)?

Comment only
03 May 2012 Alex Barnett

19 Jul 2011 Nate

Nate (view profile)

Great Work. Solves equations far from initial guess where fzero fails

Comment only
22 Jun 2011 Fabro

Fabro (view profile)

Very helpfull, u deserve 10 stars... at list, I give u 5

15 Feb 2009 Andrew O'Connor

Absolutely awsome. fzero was very unstable and gave single answers which were often incorrect when near the boundies. This program gave ALL solutions to the equation with almost no dependance on the guess. Thanks Matt

10 Jul 2008 Kalid M

Great work

03 Jan 2008 matt fig (author)

Taoufik tried to apply this root finder to an implicitly defined function of the form:

T(m) = ((T^4-const)/const + f(m))

This file only works on explicitly defined functions of one variable.

Comment only
31 Dec 2007 taoufik brahim

i think it's good mathematical idea but it not work execellent with complex nonliear alg├ębric equation


25 Sep 2007 Jimmy Banker

when i run it, it throw up an error

Error in ==> newt2 at 20
if f(xr) == 0, root = xr; return, end

whats wrong with it?

Comment only
20 Feb 2007 Yang Xiao

The program can't work for the fuction:
f(x) = det(eye(2)*x-[-0.8333 -0.0278;500.0000 -10.0000]-[-0.8333 -0.0167;0 0]*exp(-0.01*x))
However, fzero.m of Matlab can find the root of the function. Please check your program, and relpy me.

14 Oct 2005 Mike Zand

Me likey. Well done.

29 Apr 2005 mike owens

Novel approach works well. Good job!

29 Apr 2005 clement marchand

Nice work

17 Feb 2005

Bug fix.

11 Jul 2008

I wrote the initial version a long time ago, there was no commenting or arg checking, so I fixed it.

14 Jul 2008

Description needed updating.

22 Jan 2009 1.3

Better filtering

21 May 2009 1.4

Faster method.

Contact us