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2. Measurement inversion with a linear model
The minimization problem is solved differently depending on whether the model output is linear or non-linear with respect to the parameters:
in the 1 er case, there is an explicit solution to the problem;
in the 2nd case, iterative non-linear programming (NLP) methods must be used to approximate the solution.
2.1 Linear ordinary least squares (OLS) estimator
When the model is linear, its output is written as :
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Measurement inversion with a linear model
Measurement inversion with a non-linear model
Bibliography
Websites
French Thermal Society (see proceedings of Metti 5-2011 and Metti 6-2015 schools) http://www.sft.asso.fr
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