PROGRAM SUMMARY
Title of program:
GENEREG
Catalogue identifier:
ADOQ
Ref. in CPC:
139(2001)279
Distribution format: tar gzip file
Operating system: UNIX (SunOS), MS Windows, Linux
High speed store required:
10MK words
Number of bits in a word:
32
Number of lines in distributed program, including test data, etc:
13816
Keywords:
Ill-posed inverse problem, Regularization, Prior information,
Tikhonov regularization, Edge preserving regularization,
General purpose, Fit.
Programming language used: Fortran
Computer:
Sun ,
Pentium PC .
Other versions of this program:
Cat. Id. Title Ref. in CPC ACGH FTIKREG 69(1992)99 ACPF NLREG 77(1993)429
Nature of problem:
Many physically interesting functions are not directly accessible by
experiments. However, they often can be inferred from an experimentally
measurable quantity by solving an inverse problem. If the inverse
problem is ill-posed, so-called regularization methods are necessary
which impose prior information upon the solution. This prior
information is modeled by the regularization term which may be
nonlinear.
Method of solution:
The nonlinear regularization method implemented in the program NLREG
(for NonLinear REGularization) [1] is generalized for the ability to
implement more general and in particular nonlinear regularization terms.
This extended feature is discussed exemplarily by means of an edge
preserving regularization method which makes use of a nonlinear
regularization term [2].
Typical running time:
The typical running time is proportional to (n + ns)ns**2, in which n
and ns denote the number of data points respectively the number of
points at which the solution is calculated.
References:
[1] J. Weese, Comput. Phys. Commun. 77 (1993) 429.
[2] T. Roths, D. Maier, Chr. Friedrich, M. Marth, J. Honerkamp, Rheol.
Acta 39 (2000) 163.