Closed-form solutions are provided for a family of nonconvex optimization problems on ratios of principal minor products for positive definite matrices, confirming the Ingleton ratio infimum is 16/27 for 4x4 matrices.
Conditional information inequalities for entropic and almost entropic points
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Sharp Inequalities for Products of Principal Minors of Positive Definite Matrices
Closed-form solutions are provided for a family of nonconvex optimization problems on ratios of principal minor products for positive definite matrices, confirming the Ingleton ratio infimum is 16/27 for 4x4 matrices.