Blenders

Details Blenders Blenders

2010-08-26

arxiv.org/abs/1008.4533v2

Mathematics

Number Theory

Revised version; will appear in "Notions of Positivity and the Geometry of Polynomials" (P. Branden, M. Passare, M. Putinar, e

Scientific paper

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.

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