Proves that the smallest singular value of clustered multivariate Vandermonde matrices on the unit circle is bounded below by the product of inverse intra-cluster distances, with matching upper bounds and sharp constants for univariate and pair cases.
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On the smallest singular value of multivariate Vandermonde matrices with clustered nodes
Proves that the smallest singular value of clustered multivariate Vandermonde matrices on the unit circle is bounded below by the product of inverse intra-cluster distances, with matching upper bounds and sharp constants for univariate and pair cases.