Algorithms and programs for the solution of linear
ill-posed problems from the monograph:
A.N.Tikhonov, A.V.Goncharsky, V.V.Stepanov, A.G.Yagola "Numerical methods for the solution of ill-posed problems" - Kluwer
Academic Publishers, Dordrecht, 1995
All these programs are written on FORTRAN 77.
- The program for the solution of
Fredholm integral equation of the first kind using the transformation of
Euler equation ti threediagonal matrix system.
- The program for the solution of Fredholm integral equation of the first
kind using conjugate method.
- The program for the solution of Fredholm integral equation of the first
kind on nonnegative functions set using regularizing method.
- The program for the solution of onedimensional convolution type
integral equation.
- The program for the solution of twodimensional convolution type
integral equation.
- The program for the solution of Fredholm integral equation of the first
kind on monotonous and (or) convex functions sets. Conditional gradient
method.
- The program for the solution of Fredholm integral equation of the first
kind on monotonous and (or) convex functions sets. The method of conjugate
gradients projections.
Remark: the program does not use ENTRY.
- The program for the solution of Fredholm integral equation of the first
kind on monotonous and (or) convex functions sets. The method of conjugate
gradients projections on nonnegative vectors set.
- General programs.
All listings of the subroutines (all_listings.zip,
all_listings.txt) and the main
routines with the functions and the results (all_figures.zip,
all_figures.txt).