New sparse moment-SOS hierarchies for polynomial matrix optimization reduce SDP size, with term sparsity converging to PMI sign symmetry blocks and a counterexample showing correlative sparsity can fail asymptotically.
Inner Approximations for Polynomial Matrix Inequalities and Robust Stability Regions,
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Sparse Polynomial Matrix Optimization
New sparse moment-SOS hierarchies for polynomial matrix optimization reduce SDP size, with term sparsity converging to PMI sign symmetry blocks and a counterexample showing correlative sparsity can fail asymptotically.