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Singular vectors of orthogonally decomposable tensors

Abstract:
Orthogonal decomposition of tensors is a generalization of the singular value decomposition of matrices. In this paper, we study the spectral theory of orthogonally decomposable tensors. For such a tensor, we give a description of its singular vector tuples as a variety in a product of projective spaces.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1080/03081087.2016.1277508

Authors

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Queens College
Role:
Author


Publisher:
Taylor and Francis
Journal:
Linear and Multilinear Algebra More from this journal
Volume:
65
Issue:
12
Pages:
2457–2471
Publication date:
2017-01-11
Acceptance date:
2016-12-26
DOI:
EISSN:
1563-5139
ISSN:
0308-1087


Keywords:
Pubs id:
pubs:1030515
UUID:
uuid:94def38b-df7c-4eb3-8ffd-f352df89daf5
Local pid:
pubs:1030515
Source identifiers:
1030515
Deposit date:
2019-07-27
ARK identifier:

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