# A program for the solution of ill-posed linear systems arising from the discretization of the Fredholm integral equation of the first kind

## Description

Abstract A computer program written in FORTRAN IV for obtaining smooth solutions of ill-posed systems of linear equations arising from the discretization of the Fredholm integral equation of the first kind is given. It is based on a novel algorithm by the author. The algorithm is iterative using linear programming techniques and is numerically stable. Numerical results show that it gives accuracy comparable to the truncated singular value decomposition method, yet it is about 2 to 5 times faster. The ... Title of program: MLS Catalogue Id: ABLZ_v1_0 Nature of problem Fredholm integral equation of the first kind arises in the mathematical analysis of many physical problems. Among these are in optics, the restoration of blurred images. Versions of this program held in the CPC repository in Mendeley Data ABLZ_v1_0; MLS; 10.1016/0010-4655(90)90064-8 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)