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Hölzel, Matthew and Bernstein, Dennis (2014) A matrix nullspace approach for solving equality-constrained multivariable polynomial least-squares problems. Automatica, 50 (12), pp. 3030-3037. Elsevier. doi: 10.1016/j.automatica.2014.10.039. ISSN 0005-1098.
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Abstract
We present an elimination theory-based method for solving equality-constrained multivariable polynomial least-squares problems in system identification. While most algorithms in elimination theory rely upon Groebner bases and symbolic multivariable polynomial division algorithms, we present an algorithm which is based on computing the nullspace of a large sparse matrix and the zeros of a scalar, univariate polynomial.
| Item URL in elib: | https://elib.dlr.de/93661/ | |||||||||
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| Document Type: | Article | |||||||||
| Title: | A matrix nullspace approach for solving equality-constrained multivariable polynomial least-squares problems | |||||||||
| Authors: |
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| Date: | December 2014 | |||||||||
| Journal or Publication Title: | Automatica | |||||||||
| Refereed publication: | Yes | |||||||||
| Open Access: | Yes | |||||||||
| Gold Open Access: | No | |||||||||
| In SCOPUS: | Yes | |||||||||
| In ISI Web of Science: | Yes | |||||||||
| Volume: | 50 | |||||||||
| DOI: | 10.1016/j.automatica.2014.10.039 | |||||||||
| Page Range: | pp. 3030-3037 | |||||||||
| Publisher: | Elsevier | |||||||||
| ISSN: | 0005-1098 | |||||||||
| Status: | Published | |||||||||
| Keywords: | Identification algorithms; Least squares; Multivariable polynomial | |||||||||
| HGF - Research field: | Aeronautics, Space and Transport | |||||||||
| HGF - Program: | Space | |||||||||
| HGF - Program Themes: | other | |||||||||
| DLR - Research area: | Raumfahrt | |||||||||
| DLR - Program: | R - no assignment | |||||||||
| DLR - Research theme (Project): | R - no assignment, Hochpräzise Lageregelung (old), R - Raumfahrzeugsysteme - Konzepte und Entwurf (old) | |||||||||
| Location: | Bremen | |||||||||
| Institutes and Institutions: | Institute of Space Systems > Navigation and Control Systems | |||||||||
| Deposited By: | Steffes, Stephen | |||||||||
| Deposited On: | 19 Dec 2014 11:06 | |||||||||
| Last Modified: | 31 Jul 2019 19:50 |
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