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- W2614668924 abstract "We investigate the structure of join tensors, which may be regarded as the multivariable extension of lattice-theoretic join matrices. Explicit formulae for a polyadic decomposition (i.e., a linear combination of rank-1 tensors) and a tensor-train decomposition of join tensors are derived on general join semilattices. We discuss conditions under which the obtained decompositions are optimal in rank, and examine numerically the storage complexity of the obtained decompositions for a class of LCM tensors as a special case of join tensors. In addition, we investigate numerically the sharpness of a theoretical upper bound on the tensor eigenvalues of LCM tensors." @default.
- W2614668924 created "2017-05-26" @default.
- W2614668924 creator A5042074756 @default.
- W2614668924 date "2017-05-15" @default.
- W2614668924 modified "2023-09-27" @default.
- W2614668924 title "On the structure of join tensors with applications to tensor eigenvalue problems" @default.
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