A Spectral Theory for Tensors
نویسندگان
چکیده
منابع مشابه
Tropical Spectral Theory of Tensors
We introduce and study tropical eigenpairs of tensors, a generalization of the tropical spectral theory of matrices. We show the existence and uniqueness of an eigenvalue. We associate to a tensor a directed hypergraph and define a new type of cycle on a hypergraph, which we call an H-cycle. The eigenvalue of a tensor turns out to be equal to the minimal normalized weighted length of H-cycles o...
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2011
ISSN: 0240-2963
DOI: 10.5802/afst.1325