Global Search Strategies for Solving Multilinear Least-squares Problems
2011 (English)Report (Other academic)
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. , 11 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2011:17
Global optimization; Global search strategies; Multilinear least-squares; Filter networks
National CategoryComputational Mathematics Medical Image Processing
IdentifiersURN: urn:nbn:se:liu:diva-72181ISRN: LiTH-MAT-R--2011/17--SEOAI: oai:DiVA.org:liu-72181DiVA: diva2:457980