Re: Numerically solving a system of polynomial equations

Liebe Yaroslav ,

Can you transform the system you're working on
into a homogeneous one by adding more variables?
your simple exemple then becomes:
x*t + x*y = m 1
y*t + x*y = m 2 with t = 1 ,
using inverses y' = 1/y ....
m2 * y' + m2 * t' = a
m1 * x' + m1 * t' = a , a = m1*m2/(x*y*t) , t' = 1 ;
all unknown x' , y' ...but t' ....being computed as
mutiples of a ,
Hope it helps ,

Alain.

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