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Topic: non linear system, 6 unknowns, 6 equations (quadratic)
Replies: 5   Last Post: Jun 17, 2012 12:43 PM

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sci.math

Posts: 2
Registered: 9/20/11
non linear system, 6 unknowns, 6 equations (quadratic)
Posted: Jun 13, 2012 6:52 AM
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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.



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