Sharp lower bounds are established for determinants of (n-1)-locally PSD matrices, measuring their deviation from global PSD and generalizing Fisher-Koteljanskii inequalities.
Carlson,Weakly sign-symmetric matrices and some determinantal inequalities, Colloq
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Determinant Bounds for $(n-1)$-Locally Positive Semidefinite Matrices
Sharp lower bounds are established for determinants of (n-1)-locally PSD matrices, measuring their deviation from global PSD and generalizing Fisher-Koteljanskii inequalities.