finding root of a three variable function

Dear

I have a function that depends on three variable f(x,y,z) and I would like to find the root of this function near x0,xy0,z0

I tried fzero(f,[x0,y0,z0]) but de not work because the Matlab says "Second argument must be a scalar or vector of length 2"

Is that means that fzero only works for univariate o bivariate functions?

Does exist a build in function to calculate the zeros of a 3D function?

Thanks in advance,

Answer 1

[Stephan]

You can try fsolve:

% example function
% x(1) = x
% x(2) = y
% x(3) = z
fun = @(x) 3*cos(x(1)) - x(2).^1/3 + x(3) - 7

opts = optimoptions('fsolve','Algorithm','Levenberg-Marquardt');
sol = fsolve(fun,[0 0 0],opts)

test = fun(sol)