0
$\begingroup$

I am looking for the roots of a polynomial in $z$ and $\bar{z}$ (i.e., complex $z$ and its conjugate). In this post I found that you can do this with resultants leading to a resultant polynomial in $z$ only. This resultant polynomial is generally of higher order than the original polynomial, but apparently, the roots of the original polynomial are among the roots of the resultant polynomial. I found this to be true for the cases I considered, but I am wondering whether somebody has a proof that this is the case, or a reference to a book where this is proven. Thanks for your help!

$\endgroup$
0

0

You must log in to answer this question.

Browse other questions tagged .