A blender is a closed convex cone of real homogeneous polynomials that is also closed under linear changes of variable. Non-trivial blenders only occur in even degree. Examples include the cones of psd forms, sos forms, convex forms and sums of 2u-th powers of forms of degree v. We present some general properties of blenders and analyze the extremal elements of some specific blenders.
|Original language||English (US)|
|Title of host publication||Notions of positivity and the geometry of polynomials|
|Number of pages||29|
|State||Published - 2011|
|Publisher||Birkhäuser/Springer Basel AG, Basel|