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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
Maximizing Slice-Volumes of Semialgebraic Sets using Sum-of-Squares Programming
Jared Miller, Chiara Meroni, Matteo Tacchi +1
This paper presents an algorithm to maximize the volume of an affine slice through a given semialgebraic set. This slice-volume task is formulated as an infinite-dimensional linear…