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math.OC2024
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…
math.OC2024
Exploiting Sign Symmetries in Minimizing Sums of Rational Functions
Feng Guo, Jie Wang, Jianhao Zheng
This paper is devoted to the problem of minimizing a sum of rational functions over a basic semialgebraic set. We provide a hierarchy of sum of squares (SOS) relaxations that is du…