# The Condition Number of Join Decompositions

@article{Breiding2016TheCN, title={The Condition Number of Join Decompositions}, author={Paul Breiding and Nick Vannieuwenhoven}, journal={SIAM J. Matrix Anal. Appl.}, year={2016}, volume={39}, pages={287-309} }

The join set of a finite collection of smooth embedded submanifolds of a mutual vector space is defined as their Minkowski sum. Join decompositions generalize some ubiquitous decompositions in multilinear algebra, namely tensor rank, Waring, partially symmetric rank and block term decompositions. This paper examines the numerical sensitivity of join decompositions to perturbations; specifically, we consider the condition number for general join decompositions. It is characterized as a distance…

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