Further techniques on a polynomial positivity question of Collins, Dykema, and Torres-Ayala

Nathaniel K. Green, Edward D. Kim

Abstract


We prove that the coefficient of \(t^2\) in \(\mathsf{trace}((A+tB)^6)\) is a sum of squares in the entries of the symmetric matrices \(A\) and \(B\).

Keywords


semidefinite programming, sum of squares, positivity of multivariate polynomials, roots of polynomials

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DOI: http://dx.doi.org/10.12958/adm2125

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