✦ LIBER ✦

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

✍ Scribed by Nabih N. Abdelmalek

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 593 KB
Volume: 58
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(90)90064-8

No coin nor oath required. For personal study only.

✦ Synopsis

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 program may also obtain the least squares solution of ill-conditioned systems of linear equations under a simple condition. Numerical results are given.

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