Interpolation within a 3d array

I have a function of the form w=f(x,y,z) so running this function within a range of x,y,z inputs, say 1:3 for each, creates a 3x3x3 array of solutions. Now I want to know when w = 0 so I would like to interpolate within this array to find out what inputs I require to make the function zero.

Thanks for any help.

Answer 1

[Sarah Wait Zaranek]

You can probably use a lot of methods to do this, depending on what your function looks like.

If you do not have the optimization toolbox, one way would be to use fminsearch where your objective function would be abs(f(x,y,z));

See code below:

function findFuncZero

[x,feval] = fminsearch(@myFunction,[0 0 0]);
disp(x)
disp(feval)

end

function w = myFunction(inputVar)

x = inputVar(1);
y = inputVar(2);
z = inputVar(3);

w = abs(1* sin(x) + cos(y) + 2*sin(z) + 1);

end

My output is the following:

   -0.1461    0.7125   -0.9366
5.0390e-005