Tensors and their Eigenvectors

Tensors and their Eigenvectors

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Bernd Sturmfels, University of California, Berkeley
Fine Hall 214

Eigenvectors of square matrices are central to linear algebra.  Eigenvectors of tensors are a natural generalisation. The spectral theory of tensors was pioneered by Lim and Qi around 2005. It has numerous applications, and ties in closely with optimization and dynamical systems. We present an introduction that emphasises algebraic and geometric aspects.