Three decompositions of symmetric tensors have similar condition numbers

Published 8 Oct 2021 in math.NA and cs.NA | (2110.04172v1)

Abstract: We relate the condition numbers of computing three decompositions of symmetric tensors: the canonical polyadic decomposition, the Waring decomposition, and a Tucker-compressed Waring decomposition. Based on this relation we can speed up the computation of these condition numbers by orders of magnitude

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