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non linear system, 6 unknowns, 6 equations (quadratic)
Posted:
Jun 13, 2012 6:52 AM


Hi,
x1, x2, x3 are fixed vectors of R^3 a=(a1,a2,a3) and t=(t1,t2,t3) are two unknown vectors of R^3 I is the 3,3 identity matrix
Solve this system (the matrices in parenthesis are symmetric: only 6 eqns.): a1(x1*x1'x1*t't*x1')+a2(x2*x2'x2*t't*x2')+a3(x3*x3'x3*t't*x3')=I
Before trying to solve that numerically, any analytical result would be great (e.g., is there at least one solution ?).
Thank you!
Michel.



