Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

Matlab tool "Optimizer": Construction and Optimization of Multi-Block Mathematical Models-Application to spectroscopy experiments with ultracold gases of alkali metals

Authors
Vladimir Sovkov, Jie Ma
Corresponding Author
Vladimir Sovkov
Available Online May 2016.
DOI
https://doi.org/10.2991/amsm-16.2016.83How to use a DOI?
Keywords
multivariate optimization; mathematical model construction; spectra of ultracold gases of alkali metals
Abstract

The computational tool "Optimizer" written in Matlab is presented. This program is aimed to work with complicated multivariate mathematical models by constructing them from simpler blocks, presented by program routines with predefined interface, and optimizing the resulting multi-block model. The optimization is done with the linear and nonlinear Least Square Fit (LSF) using the Levenbergª-Marquardt algorithm based on the Singular Value Decomposition (SVD) of the design matrix; extra tools include robust estimators, Tikhonov regularization, constrained optimization, etc. The program has been widely used for analysis of experimental spectroscopy data; the examples include spectra of ultracold gases of alkali metals.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
Series
Advances in Computer Science Research
Publication Date
May 2016
ISBN
978-94-6252-198-8
ISSN
2352-538X
DOI
https://doi.org/10.2991/amsm-16.2016.83How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Vladimir Sovkov
AU  - Jie Ma
PY  - 2016/05
DA  - 2016/05
TI  - Matlab tool "Optimizer": Construction and Optimization of Multi-Block Mathematical Models-Application to spectroscopy experiments with ultracold gases of alkali metals
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 369
EP  - 372
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.83
DO  - https://doi.org/10.2991/amsm-16.2016.83
ID  - Sovkov2016/05
ER  -