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math.MG2026
Geometry of low nonnegative rank matrix completion
Kaie Kubjas, Lilja Metsälampi
We study completion of partial matrices with nonnegative entries to matrices of nonnegative rank at most for some . Most of our results are for . We…
math.MG2024
Uniqueness of size-2 positive semidefinite matrix factorizations
Kristen Dawson, Serkan Hoşten, Kaie Kubjas +1
We characterize when a size-2 positive semidefinite (psd) factorization of a positive matrix of rank 3 and psd rank 2 is unique. The characterization is obtained using tools from r…