We present a theorem that decouples the dominant eigenvectors of tensor Kronecker products, which is a rare generalization from matrix theory to tensor eigenvectors. This theorem implies low-rank structure ought to be present in the iterates of tensor power methods on Kronecker products.
Nov 17, 2020 · We present a theorem that decouples the dominant eigenvectors of tensor Kronecker products, which is a rare generalization from matrix theory to ...
Abstract. Tensor Kronecker products, the natural generalization of the matrix Kronecker product, are independently emerging in multiple research communities ...
We present a theorem that decouples the dominant eigenvectors of tensor Kronecker products, which ... DOMINANT Z-EIGENPAIRS OF TENSOR KRONECKER PRODUCTS. 1009.
This theorem suggests that iterates of tensor power methods on Kronecker products 22 should contain low-rank structure. A modified normalized Newton method ( ...
Sep 9, 2021 · We present a new extremal Z-eigenvector theorem for the Kronecker products of tensors which shows that the dominant eigenvector of B⊗A ...
Dominant Z-Eigenpairs of Tensor Kronecker Products are Decoupled and. Applications to Higher-Order Graph Matching. ∗. Charles Colley, Huda Nassar, and David F ...
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Dominant Z-Eigenpairs of Tensor Kronecker Products Decouple. C Colley, H Nassar, DF Gleich. SIAM Journal on Matrix Analysis and Applications 44 (3), 1006-1031, ...
Dominant Z-Eigenpairs of Tensor Kronecker Products are Decoupled (with applications to Higher-Order Graph Matching) · Algebraic Multigrid for Least Squares ...
PDF | We generalize the matrix Kronecker product to tensors and propose the tensor Kronecker product singular value decomposition that decomposes a real.