Background and issues
Robustness of multidimensional calibrations: application to spectral data

Bold uppercase letters are used to designate matrices, e.g.X; bold lowercase letters designate column vectors, e.g. x_j designates the j^e column ofX (vectors are always assumed to be arranged in columns); bold lowercase letters designate scalars, e.g. matrix elements x_ij or indices i. Where necessary, the dimension of matrices can be indicated by a double indication in brackets, e.g.X_{(np )} indicates that the matrixX has n rows and p columns. The scalar product of two vectorsa andb is denoted bya^Tb. Quantities are indicated by a capital italic letter, e.g. temperature T. In the remainder of this article, the quantity of interest (targeted by calibration) will be denoted by Y, its value y. An influential variable will be noted as G, and its value as g. Values estimated by a model will be noted with...