Solving 3 unknowns from 50 Nonlinear equation

I have a set of three unknowns which I need to resolve from 50 different non linear equation. Which method should I use in matlab? I found out that fsolve can do that, but then I faced another issue. A part of the equation is constant number and a part of the equation is a 1x50 matrix. How should I feed it to the equation.

The equation is, eqn = Tn - (Tind/2)*(1+ erf(Z*sqrt(3.14)*(N-Nc))); Here, N is matrix and I have to solve for Tn, Nc and Z. I have a constant values for Tind.

Thanks

Answer 1

[Matt J]

Just combine all the unknown variables into a single vector p,

fun = @(p) p(1) - (Tind/2)*(1+ erf(p(2)*sqrt(3.14)*(N-p(3:end)  ))) ;

p0=[Tn0,Z0,Nc0]; %initial guess

p=fsolve(fun,p0)