Singular values of a sum of binary tensor products are weakly majorized by the sum of the tensor products of the factors' singular-value vectors, for any number of terms and any matrices.
and Paulsen, Vern I
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Ky Fan majorization for binary tensor products
Singular values of a sum of binary tensor products are weakly majorized by the sum of the tensor products of the factors' singular-value vectors, for any number of terms and any matrices.