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Article · SIAM Journal on Applied Algebra and Geometry · January 1, 2018

On Fully Real Eigenconfigurations of Tensors

Abstract

We construct generic real symmetric tensors with only real eigenvectors or, equivalently, real homogeneous polynomials with the maximum possible finite number of critical points on the sphere.

Tensor decomposition and applicationsPolynomial and algebraic computationAlgebraic Geometry and Number Theoryhomogeneous polynomialstensor eigenvalue problems

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