Kronecker Product Summation Decomposition Sample Clauses

Kronecker Product Summation Decomposition. ‌ It is rare for an arbitrarily-chosen matrix K ∈ RN×N to be expressible as a Kronecker product in a compressive manner. Of course, we could write K = [1]1×1 ⊗ K, but this would provide no savings. However, thanks to a result by Van Loan and Pitsianis [50], we can express arbi- trary matrices as a sum of Kronecker products. Given any matrix K of size n2 × n2, we can express the matrix as a summation of R Kronecker products of matrices of size n × n: Σ R
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