Publisher's Synopsis
This volume aims to provide a consistent mathematical and physical treatment of empirical data processing in vibrational spectroscopy, based on the modern theory of nonlinear ill-posed problems.;The authors offer a clear description of the foundation of the theory and also look at its applications. The straightforward mathematical formulation of model constraints as well as the use of experimental data form the main issues in the book. Ab initio methods are briefly discussed, since these are likely to provide a good starting point for subsequent empirical data fitting. The data processing methods developed in the book provide empirical force fields which are compatible with experimental data as well as with certain model assumptions. Numerical methods and results of applications to different statements of inverse problems of spectroscopy are also given.
