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

• Datum: 2024
• Hauptverfasser: Green, Nathaniel K., Kim, Edward D.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2024
• Schlagworte: semidefinite programming; sum of squares; positivity of multivariate polynomials; roots of polynomials; 11C99; 15A42; 15A10; 26C10; 90C22
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2125
• Назва журналу: Algebra and Discrete Mathematics

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 \(B\).