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Global Search Strategies for Solving Multilinear Least-squares Problems
Linköping University, Department of Biomedical Engineering, Medical Informatics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Optimization . Linköping University, The Institute of Technology.ORCID iD: 0000-0003-1836-4200
Linköping University, Department of Biomedical Engineering, Medical Informatics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9091-4724
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology. (Optimization)
2011 (English)Report (Other academic)
Abstract [en]

The multilinear least-squares (MLLS) problem is an extension of the linear least-squares problem. The difference is that a multilinearoperator is used in place of a matrix-vector product. The MLLS istypically a large-scale problem characterized by a large number of local minimizers. It originates, for instance, from the design of filter networks. We present a global search strategy that allows formoving from one local minimizer to a better one. The efficiencyof this strategy isillustrated by results of numerical experiments performed forsome problems related to the design of filter networks.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press , 2011. , p. 11
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2011:17
Keywords [en]
Global optimization; Global search strategies; Multilinear least-squares; Filter networks
National Category
Computational Mathematics Medical Image Processing
Identifiers
URN: urn:nbn:se:liu:diva-72181ISRN: LiTH-MAT-R--2011/17--SEOAI: oai:DiVA.org:liu-72181DiVA, id: diva2:457980
Available from: 2011-11-21 Created: 2011-11-21 Last updated: 2015-06-02Bibliographically approved

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Global Search Strategies for Solving Multilinear Least-squares Problems(157 kB)1277 downloads
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Andersson, MatsBurdakov, OlegKnutsson, HansZikrin, Spartak

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • de-DE
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