A regularization method for nonlinear ill-posed problems

Abstract
Often, physically interesting functions are not directly accessible by an experiment, and must be calculated from data of an experimental accessible quantity. If this calculation requires the inversion of a Fredholm integral equation of the first kind, the determination of the physically interesting function is an ill-posed problem. In this case, linear regularization methods should be used to perform the calculations. However, in several applications the relation between the interesting func...

Title of program: NLREG
Catalogue Id: ACGH_v2_0 [ACPF]

Nature of problem
Physically interesting functions are often not directly accessible by an experiment, and must be calculated from data of an experimental accessible quantity. In many cases this calculation requires the inversion of a nonlinear integral equation, and a nonlinear regularization method should be applied.

Versions of this program held in the CPC repository in Mendeley Data
ACGH_v1_0; FTIKREG; 10.1016/0010-4655(92)90132-I
ACGH_v2_0; NLREG; 10.1016/0010-4655(93)90187-H
ACGH_v3_0; GENEREG; 10.1016/S0010-4655(01)00217-X

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)