Blenders

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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 languageEnglish (US)
Title of host publicationNotions of positivity and the geometry of polynomials
PublisherBirkhäuser/Springer Basel AG, Basel
Pages345-373
Number of pages29
DOIs
StatePublished - 2011

Publication series

NameTrends Math.
PublisherBirkhäuser/Springer Basel AG, Basel

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