Three decompositions of symmetric tensors have similar condition numbers

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

References in corpus (2)

• Minimality and uniqueness for decompositions of specific ternary forms
• The condition number of many tensor decompositions is invariant under Tucker compression