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CompoundMatrices

Abstract

Compound matrices and singular products.

The kth compound matrix has entries equal to kth order minors. Cauchy-Binet makes the compound construction multiplicative. Unitary diagonalization identifies its singular values with products over kth order subsets; sorting identifies the largest such product.

The source is Alex Meiburg’s Apache-2.0 Physlib at revision b9043cc548ef6d63a28454cf3a57fb12a0c2e142. These results support the Schatten product Holder inequality. No mathematical originality is claimed.

References