3 papers
math.OC2026
A Moment-QSOS Hierarchy for a Class of Quaternion Polynomial Optimization Problems
Yanqing Liu, Jie Wang
This paper introduces a Moment-Quaternion-Sum-of-Squares (QSOS) hierarchy for solving a class of quaternion polynomial optimization problems. This hierarchy is formulated directly…
math.OC2026
Positivstellensätze for polynomial matrices with universal quantifiers
Feng Guo, Jie Wang
This paper investigates Positivstellensätze for polynomial matrices subject to universally quantified polynomial matrix inequality constraints. We first establish a matrix-valued…
math.OC2025
Sparse Polynomial Matrix Optimization
Jared Miller, Jie Wang, Feng Guo
A polynomial matrix inequality is a formula asserting that a polynomial matrix is positive semidefinite. Polynomial matrix optimization concerns minimizing the smallest eigenvalue…