Matlab tool "Optimizer": Construction and Optimization of Multi-Block Mathematical Models-Application to spectroscopy experiments with ultracold gases of alkali metals
Vladimir Sovkov, Jie Ma
Available Online May 2016.
- 10.2991/amsm-16.2016.83How to use a DOI?
- multivariate optimization; mathematical model construction; spectra of ultracold gases of alkali metals
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.
- © 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 - 10.2991/amsm-16.2016.83 ID - Sovkov2016/05 ER -