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math.NA2024
Multilinear analysis of quaternion arrays: theory and computation
Julien Flamant, Xavier Luciani, Sebastian Miron +1
Multidimensional quaternion arrays (often referred to as "quaternion tensors") and their decompositions have recently gained increasing attention in various fields such as color an…
math.NA2023
On factorization of rank-one auto-correlation matrix polynomials
Konstantin Usevich, Julien Flamant, Marianne Clausel +1
This article characterizes the rank-one factorization of auto-correlation matrix polynomials. We establish a sufficient and necessary uniqueness condition for uniqueness of the fac…