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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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 Robert H. Lewis Posts: 284 Registered: 12/8/04
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

Date Subject Author
6/13/12 sci.math
6/13/12 AMX
6/15/12 Peter Spellucci
6/15/12 Robert H. Lewis
6/16/12 Rainer von Seggern
6/17/12 Robert H. Lewis