Editing Global optimization (section)

===Methods based on real algebraic geometry===
{{main|Real algebraic geometry}}
'''Real algebra''' is the part of algebra which is relevant to real algebraic (and semialgebraic) geometry. It is mostly concerned with the study of [[ordered field]]s and [[ordered ring]]s (in particular [[real closed field]]s) and their applications to the study of [[positive polynomial]]s and [[Polynomial SOS|sums-of-squares of polynomials]]. It can be used in [[convex optimization]].