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 1er 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.
When the model is linear, its output is written as :
y mo ( x ) =
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Measurement inversion with a linear model
Bibliography
(1) - HADAMARD (J.) - Lectures on Cauchy's Problem in Linear Partial Differential Equations. - Yale University Press, New Haven (1923).
(2) - LASCAUX (P.), THEODOR (R.) - Analyse numérique matricielle appliquée à l'art de l'ingénieur. - Tome 1 : Méthodes...
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