3 papers
math.RA2026
Noncommutative Rational Sums of Squares in Free Algebras
Sizhuo Yan, Jianting Yang, Lihong Zhi
This paper introduces rational sums of squares for symmetric noncommutative polynomials in free algebras. Under the assumption that the polynomial admits a strictly positive scalar…
math.OC2025
Sparse sum of Hermitian squares in group algebras of finite groups
Jianting Yang, Ke Ye, Lihong Zhi
Nonnegative elements in group algebras play a central role in harmonic analysis, operator algebras, and computational optimization. This paper investigates sparse sum-of-Hermitian-…
math.AC2024
A Field-Theoretic View of Unlabeled Sensing
Hao Liang, Jingyu Lu, Manolis C. Tsakiris +1
Unlabeled sensing is the problem of solving a linear system of equations, where the right-hand-side vector is known only up to a permutation. In this work, we study fields of ratio…