Fourier analysis of EXAFS data,a self-contained fortran program-package

This paper summarizes the main results concerning the analysis of the local convergence of quasi-newton methods in finite and infinite-dimensional Hilbert spaces. Although the physicist working on the computer is essentially concerned with the finite-dimensional case (i.e. the discrete case), it is often useful for him to know under which conditions the familar results can be extended verbatim to the inifinite-dimensional case (i.e. the continous case). The analysis given in this paper stresses these aspects of the problem. As an example of an application, a survey of the particular quasi-Newton method that collapses to the well-known extrapolated Jacobi method in the linear case is presented. The interesting special case of holography for which the optimal parameter of relaxation is known a priori is mentioned.