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This paper considers the inversion problem related to the
manipulation of quantum
systems using laser-matter interactions. The focus
is on the identification of the field free Hamiltonian and/or
the dipole moment of a
quantum system. The evolution of the system is given by the Schrödinger
equation. The available data are observations as a function of time
corresponding to dynamics generated by electric fields. The
well-posedness of the problem is proved, mainly focusing on the uniqueness of
the...
This contribution contains a description and comparison of two methods applied to exposure optimization applied to moulding process in the automotive industry.
In this paper, we examine the influence of approximate first and/or
second derivatives on the filter-trust-region algorithm designed for
solving unconstrained nonlinear optimization problems and proposed by
Gould, Sainvitu and Toint in
[12]. Numerical
experiments carried out on small-scaled unconstrained problems from
the CUTEr collection describe the effect of the use of
approximate derivatives on the robustness and the efficiency of the
filter-trust-region method.
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