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math.FA2022
Matrix Extreme Points and Free extreme points of Free spectrahedra
Aidan Epperly, Eric Evert, J. William Helton +1
A spectrahedron is a convex set defined by a linear matrix inequality, i.e., the set of all such that \[ L_A(x) = I + A_1 x_1 + A_2 x_2 + \dots + A_g x_g \succ…
math.NA2022
Canonical Polyadic Decomposition via the generalized Schur decomposition
Eric Evert, Michiel Vandecappelle, Lieven De Lathauwer
The canonical polyadic decomposition (CPD) is a fundamental tensor decomposition which expresses a tensor as a sum of rank one tensors. In stark contrast to the matrix case, with l…