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Overview of recent advances in numerical tensor algebra
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Communication Systems. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7599-4367
2010 (English)In: Proceedings of Asilomar Conference on Signals, Systems and Computers, 2010, 3-7 p.Conference paper (Other academic)
Abstract [en]

We present a survey of some recent developments for decompositions of multi-way arrays or tensors, with special emphasis on results relevant for applications and modeling in signal processing. A central problem is how to find lowrank approximations of tensors, and we describe some new results, including numerical methods, algorithms and theory, for the higher order singular value decomposition (HOSVD) and the parallel factors expansion or canonical decomposition (CP expansion).

Place, publisher, year, edition, pages
2010. 3-7 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-62825DOI: 10.1109/ACSSC.2010.5757454ISBN: 978-1-4244-9722-5OAI: diva2:374700
44th Annual Asilomar Conference on Signals, Systems and Computers, November 7-10, Pacific Grove, California, USA
Available from: 2010-12-06 Created: 2010-12-06 Last updated: 2016-08-31Bibliographically approved

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Bergqvist, GöranLarsson, Erik G
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