Solving Non-linear equations

Hi !

I am trying to solve this set of non-linear equations using Matlab ... and i am not getting any solution

they are 3 equations with three variables as follow:

-1.63-10.6*cos(x-z-1.41)-13.2*cos(x-y-1.38)=0

3.42-36*cos(y-z-1.38)-48.8*cos(y-x-1.38)=0

34.1-76.5*cos(z-y-1.38)-83.4*cos(z-x-1.41)=0

I tried fsolve and feval functions but i did not get any answer!!

thanks in advance for help

[Walter Roberson]

No real-valued solutions. I did not check for complex solutions.

[Hazem]

Thank you Mr.Walter

Answer 1

[Matt J]

The code below does a search for the minimum by numerical sampling of x,y,z at 1 degree intervals. It does not find a point that brings F close to zero, indicating that there probably is no solution,

    [x,y,z]=ndgrid(single(linspace(-pi,pi,360)));

            F1=-1.63-10.6*cos(x-z-1.41)-13.2*cos(x-y-1.38);

            F2=3.42-36*cos(y-z-1.38)-48.8*cos(y-x-1.38);

            F3=34.1-76.5*cos(z-y-1.38)-83.4*cos(z-x-1.41);

    F=abs(F1)+abs(F2)+abs(F3);

    [minval,i]=min(F(:));

    xyz_min=[x(i),y(i),z(i)], 

    minval,

[Hazem]

by using this code .... i am getting minimum value of the function F around(6.18)

by using fval function i got 0.233, but still it does not reach to zero

any way ... from your answer and from Mr.Walter's answer i can be sure that this set of non linear equations is unsolvable (or at least no real solution)

thanks for your help ... i really appreciate that