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

2023/07/12 by Nathaniel K. Green, Green, Nathaniel K., Edward D. Kim +1
Computer Science · Mathematics · #11C99 #15A10 #15A42 #26C10 #90C22 #Advanced Combinatorial Mathematics #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2307.06311

openalex publication_date 2023/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the coefficient of t² in trace((A+tB)⁶) is a sum of squares in the entries of the symmetric matrices A and B.

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