The propagation through the instrument and inelastic propagation through the sample are both linear operators. A suitable representation of a combination of instrument and sample would allow to use solvers for free parameters, in particular because the derivatives of such linear operators can be calculated.
In conclusion, the instrument and sample interaction should be expressed as linear operators that are suitable for use in efficient solvers that require information on the Hessian and Jacobian matrices.
The propagation through the instrument and inelastic propagation through the sample are both linear operators. A suitable representation of a combination of instrument and sample would allow to use solvers for free parameters, in particular because the derivatives of such linear operators can be calculated.
In conclusion, the instrument and sample interaction should be expressed as linear operators that are suitable for use in efficient solvers that require information on the Hessian and Jacobian matrices.