Schoenberg Criterion | Schoenberg Criterion |
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The Schoenberg criterion is a matrix criterion that determines whether a given symmetric hollow (0 main diagonal) matrix is a Euclidean distance matrix; i.e., a matrix of realizable distances-square between points in Euclidean space of some dimension.
The Schoenberg criterion, relating the EDM cone and a positive semidefinite cone, is revealed to be a discretized membership relation (dual generalized inequalities, a new Farkas'-like lemma) between the EDM cone and its ordinary dual. |
