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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

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SDP representation of ideal polynomials for positivstellensatz refutations

As I guessed, I was missing a fairly trivial piece (and most of my question is not even relevant to the answer). Free decision variables $a_i$ can be represented in SDPs by the difference of two posi …
Andrea Olivo's user avatar
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SDP representation of ideal polynomials for positivstellensatz refutations

The above paper proceeds in Section 5 by claiming that we can produce this refutation by relaxing it to a hierarchy of SDP feasibility problems, by bounding the degree of the unknown polynomials $s, \alpha_i … My question is on the explicit way to represent the polynomials. …
Andrea Olivo's user avatar