I have a system of quadratic equations I would like to solve, something like below:
syms q11 q12 q13 q21 q22 q23 q31 q32 q33[q11_sol, q12_sol, q13_sol, q21_sol, q22_sol, q23_sol, q31_sol, q32_sol, q33_sol] = ... solve(... q11*q22 == q12*q21*((T(1,1)*T(2,2))/(T(2,1)*T(1,2))), ... q22*q33 == q23*q32*((T(2,2)*T(3,3))/(T(3,2)*T(2,3))), ... q11*q33 == q13*q31*((T(1,1)*T(3,3))/(T(3,1)*T(1,3))), ... q31^2 + q32^2 + q33^2 == 1, ... q21^2 + q22^2 + q23^2 == 1, ... q11^2 + q12^2 + q13^2 == 1, ... q21*q31 + q22*q32 + q23*q33 == 0, ... q11*q31 + q12*q32 + q13*q33 == 0, ... q11*q21 + q12*q22 + q13*q23 == 0);where T is some matrix I defined.
My issue is that solving this system takes a long time, and I just want one non-trivial solution (just one solution that doesn't have 0's or 1's or -1's in it).
Is there a way for me to tell the solve function to stop when a non-trivial solution is first found?
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