Hello,
I have a problem with finding a solution for multiple nonlinear equations. I tried using 2 different forms of the equations, but I get 2 different problems in each case.
1) first attempt - I only get the solution of [0;0;0] which is true to fulfill the equation, but there is/there are other solutions which i can't find.
2) second attempt - it doesn't find the solution with info:
No solution found.
fsolve stopped because the problem appears regular as measured by the gradient,
but the vector of function values is not near zero as measured by the
default value of the function tolerance.
Here is the function.
function F = myfun(x,a,b,c,alfa,beta,gamma)
F= [
alfa*(sqrt(x(1)^2+x(2)^2+x(3)^2)*sqrt(a(1)^2+a(2)^2+a(3)^2))-((x(1)*a(1)+x(2)*a(2)+x(3)*a(3)));
beta*(sqrt(x(1)^2+x(2)^2+x(3)^2)*sqrt(b(1)^2+b(2)^2+b(3)^2))-((x(1)*b(1)+x(2)*b(2)+x(3)*b(3)));
gamma*(sqrt(x(1)^2+x(2)^2+x(3)^2)*sqrt(c(1)^2+c(2)^2+c(3)^2))-((x(1)*c(1)+x(2)*c(2)+x(3)*c(3)));
];
And running it:
x0 = [10;10;10];
a=[0,1,1.73];
b=[0,1.73,1];
c=[-1,0,1.73];
alfa=0.8926;
beta=0.8183;
gamma=0.5603;
[out,fval] = fsolve(@(x) myfun(x,a,b,c,alfa,beta,gamma),x0)
In fact I try to solve such a problem:
I've got 3 vectors (in 3D) and 3 angles - in fact cosinus of them. This are angles between each of those vectors and other vector which i try to find.
Has anybody idea how to help me?
Regards,
Piotrek
