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math.SP2025
Orthogonal eigenvectors and singular vectors of tensors
Alvaro Ribot, Anna Seigal, Piotr Zwiernik
The spectral theorem says that a real symmetric matrix has an orthogonal basis of eigenvectors and that, for a matrix with distinct eigenvalues, the basis is unique (up to signs).…
math.SP2016
Gram Determinants of Real Binary Tensors
Anna Seigal
A binary tensor consists of entries arranged into hypercube format . There are ways to flatten such a tensor into a matrix of size $2 \…
math.SP2016
Singular Vectors of Orthogonally Decomposable Tensors
Elina Robeva, Anna Seigal
Orthogonal decomposition of tensors is a generalization of the singular value decomposition of matrices. In this paper, we study the spectral theory of orthogonally decomposable te…