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Re: non linear system, 6 unknowns, 6 equations (quadratic)
Posted:
Jun 15, 2012 11:32 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 ?).
I don't understand your notation. What is x1' ? t' ? Are your vectors to be thought of as column matrices? or what?
Robert H. Lewis Fordham University



