So I need to use fsolve on this to solve the following system of four equations:
2x=-2kx
2y=-ky
2z=-k
2-(x^2)-(1/2)(y^2)-z=0.
I therefore assigned x(1) to x, x(2) to y, x(3) to z, and x(4) to k. This is what I typed:
x0=[0,0,2,0];
fsolve(@(x)[2.*x(1)+2.*x(2).*x(4);2.*x(2)+x(2).*x(4);2.*x(3)+x(4);2-(x(1).^2)-0.5.*(x(2).^2)-x(3)],[x0])
Apparently, there should be five solutions, but matlab is only returning one:
Equation solved.
fsolve completed because the vector of function values is near zero
as measured by the default value of the function tolerance, and
the problem appears regular as measured by the gradient.
<stopping criteria details>
ans =
-0.0000 0 2.0000 -4.0000
How can I get matlab to compute and display the other solutions?
