The Higher-Order Singular Value Decomposition Theory and an Application

Bergqvist, Göran; Larsson, Erik G.

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The Higher-Order Singular Value Decomposition Theory and an Application

Bergqvist, Göran

Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.

Larsson, Erik G.

Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Communication Systems.ORCID iD: 0000-0002-7599-4367

2010 (English)In: IEEE signal processing magazine (Print), ISSN 1053-5888, E-ISSN 1558-0792, Vol. 27, no 3, p. 151-154Article in journal (Other academic) Published

Abstract [en]

Tensor modeling and algorithms for computing various tensor decompositions (the Tucker/HOSVD and CP decompositions, as discussed here, most notably) constitute a very active research area in mathematics. Most of this research has been driven by applications. There is also much software available, including MATLAB toolboxes [4]. The objective of this lecture has been to provide an accessible introduction to state of the art in the field, written for a signal processing audience. We believe that there is good potential to find further applications of tensor modeling techniques in the signal processing field.

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Institute of Electrical and Electronic Engineers , 2010. Vol. 27, no 3, p. 151-154

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URN: urn:nbn:se:liu:diva-55525DOI: 10.1109/MSP.2010.936030ISI: 000276819100017OAI: oai:DiVA.org:liu-55525DiVA, id: diva2:316227

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©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.: Göran Bergqvist and Erik G. Larsson, Higher-Order Singular Value Decomposition: Theory and an Application, 2010, IEEE SIGNAL PROCESSING MAGAZINE, (27)3, 151-154. Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2017-12-12

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