Abstract
The multilinear least-squares (MLLS) problem is an extension of the linear least-squares problem. The difference is that a multilinear operator is used in place of a matrix-vector product. The MLLS is typically 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 for moving from one local minimizer to a better one. The efficiency of this strategy is illustrated by the results of numerical experiments performed for some problems related to the design of filter networks.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol17iss1pp12-21
- Journal
- Sultan Qaboos University Journal for Science, 16, 12
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Andersson, M., Burdakov, O. P., Knutsson, H. E., & Zikrin, S. (2012). Global Search Strategies for Solving Multilinear Least-Squares Problems. Sultan Qaboos University Journal for Science, 16, 12. https://doi.org/10.24200/squjs.vol17iss1pp12-21
MLA 9
Andersson, Mats, et al. "Global Search Strategies for Solving Multilinear Least-Squares Problems." Sultan Qaboos University Journal for Science, vol. 16, 2012, pp. 12. https://doi.org/10.24200/squjs.vol17iss1pp12-21.
Chicago (author–date)
Andersson, Mats, Oleg P. Burdakov, Hans E. Knutsson, and Spartak Zikrin. 2012. "Global Search Strategies for Solving Multilinear Least-Squares Problems." Sultan Qaboos University Journal for Science 16: 12. https://doi.org/10.24200/squjs.vol17iss1pp12-21.
Harvard
Andersson, M., Burdakov, O. P., Knutsson, H. E. and Zikrin, S. (2012) 'Global Search Strategies for Solving Multilinear Least-Squares Problems', Sultan Qaboos University Journal for Science, 16, pp. 12. doi:10.24200/squjs.vol17iss1pp12-21.
Vancouver
Andersson M, Burdakov OP, Knutsson HE, Zikrin S. Global Search Strategies for Solving Multilinear Least-Squares Problems. Sultan Qaboos University Journal for Science. 2012;16:12. doi:10.24200/squjs.vol17iss1pp12-21
IEEE
M. Andersson, O. P. Burdakov, H. E. Knutsson, and S. Zikrin, "Global Search Strategies for Solving Multilinear Least-Squares Problems," Sultan Qaboos University Journal for Science, vol. 16, pp. 12, 2012, doi: 10.24200/squjs.vol17iss1pp12-21.