I have two simultaneous nonlinear equations like this
X^2-3cos(y)-A=0
2x+y^3+B=0
Where A and B are vectors, anyone have a m-file solving problem like this by Newton-Raphson method?
Florian Frank
Hey there,
if don't want to self-implement a Newton scheme, there's a built-in rountine available: fsolve() that solves F(x) = 0. Assuming your two equations are scalar, use something like
F = @(x) [x(1)^2 - 3*cos(x(2)) - a; 2*x(1) + x(2)^3 + b];
x0 = [1;1];
xroot = fsolve(F, x0);
Verify the solution by typing F(xroot) (which should be close to the zero vector). This works analogously for vector-valued equations.
Best, FF
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