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

DOI

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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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  -