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Nondegeneracy of eigenvectors and singular vector tuples of tensors (2104.05900v1)
Published 13 Apr 2021 in math.NA and cs.NA
Abstract: In this article, nondegeneracy of singular vector tuples, Z-eigenvectors and eigenvectors of tensors is studied. They have found many applications in diverse areas. The main results are: (i) each (Z-)eigenvector/singular vector tuple of a generic tensor is nondegenerate, and (ii) each nonzero Z-eigenvector/singular vector tuple of an orthogonally decomposable tensor is nondegenerate.