2
votes
1answer
135 views

Symmetric polynomial optimization

Recently I asked a stupid question here (there’s no harm in that, even Fields medalist Terence Tao advises to ask dumb questions once in a while). Here is a variant question that may be more ...
3
votes
1answer
91 views

Optimize a symmetric polynomial on a compact set

This looks like a stupid question, but the obvious answer (if there is one) eludes me … Let $f(x,y)$ be a symmetric polynomial in $x$ and $y$. Then $f$ attains a minimum $m$ on the compact set ...