Factorization strategies for third-order tensors

• Published in: Linear algebra and its applications Vol. 435; no. 3; pp. 641 - 658
• Main Authors: Kilmer, Misha E., Martin, Carla D.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 01.08.2011; Elsevier
• Subjects: Algebra; Exact sciences and technology; Linear and multilinear algebra, matrix theory; Mathematics; Multidimensional arrays; Multilinear algebra; Sciences and techniques of general use; Singular value decomposition; Tensor decomposition; Tensor decomposition; Multidimensional arrays; 15A69; 65F30; Multilinear algebra; Singular value decomposition; Constraint; Tensor product; Third order; Matrix factorization; Matrix decomposition; Orthogonality; Modeling; Linear operator; Algebra

Operations with tensors, or multiway arrays, have become increasingly prevalent in recent years. Traditionally, tensors are represented or decomposed as a sum of rank-1 outer products using either the CANDECOMP/PARAFAC (CP) or the Tucker models, or some variation thereof. Such decompositions are mot...