A note on a matrix version of the Farkas lemma

Details A note on a matrix version of the Farkas lemma A note on a matrix version of the Farkas lemma

2010-12-24

arxiv.org/abs/1012.5420v1

Mathematics

Operator Algebras

10 pages

Scientific paper

A linear polyomial non-negative on the non-negativity domain of finitely many
linear polynomials can be expressed as their non-negative linear combination.
Recently, under several additional assumptions, Helton, Klep, and McCullough
extended this result to matrix polynomials. The aim of this paper is to study
which of these additional assumptions are really necessary.

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