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- W1540481103 abstract "A real symmetric tensor is orthogonally decomposable (or odeco) if it can be written as a linear combination of symmetric powers of $n$ vectors which form an orthonormal basis of $mathbb R^n$. Motivated by the spectral theorem for real symmetric matrices, we study the properties of odeco tensors. We give a formula for all of the eigenvectors of an odeco tensor. Moreover, we formulate a set of polynomial equations that vanish on the odeco variety and we conjecture that these polynomials generate its prime ideal. We prove this conjecture in some cases and give strong evidence for its overall correctness." @default.
- W1540481103 created "2016-06-24" @default.
- W1540481103 creator A5083171179 @default.
- W1540481103 date "2014-09-23" @default.
- W1540481103 modified "2023-09-27" @default.
- W1540481103 title "Orthogonal Decomposition of Symmetric Tensors" @default.
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