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.
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)?
Great Work. Solves equations far from initial guess where fzero fails
Very helpfull, u deserve 10 stars... at list, I give u 5
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
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.
i think it's good mathematical idea but it not work execellent with complex nonliear algébric equation
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?
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.
Me likey. Well done.
Novel approach works well. Good job!
Description needed updating.
I wrote the initial version a long time ago, there was no commenting or arg checking, so I fixed it.
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