Fall 2014

Orthogonal Tensor Decomposition

Thursday, November 13th, 2014 11:40 am12:30 pm

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A symmetric tensor is orthogonally decomposable (or odeco) if it can be written as a linear combination of symmetric powers of n orthonormal vectors in R^n. We study the properties of odeco tensors. We give a formula for all of the eigenvectors of an odeco tensor. We also give equations which we believe cut out the variety of odeco tensors.