#
Regularization tools - A MATLAB package
for analysis and solution of discrete ill-posed problems, version 3.0 for
MATLAB 5.2.

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Per Chr. Hansen

For a copy of this
paper, either

**Abstract**
The package "Regularization
Tools" consists of 53 Matlab routines for analysis and solution of discrete
ill-posed problems, i.e., systems of linear equations whose coefficient
matrix has the properties that its condition number is very large, and
its singular values decay gradually to zero.

Such problems
typically arise in connection with discretization of Fredholm integral
equations of the first kind, and similar ill-posed problems. Some form
of regularization is always required in order to compute a stabilized solution
to discrete ill-posed problems.

The purpose of
"Regularization Tools" is to provide the user with easy-to-use routines,
based on numerical robust and efficient algorithms, for doing experiments
with regularization of discrete ill-posed problems.

By means of this
package, the user can experiment with different regularization strategies,
compare them, and draw conclusions from these experiments that would otherwise
require a major programming effort. For discrete ill-posed problems, which
are indeed difficult to treat numerically, such an approach is certainly
superior to a single black-box routine.

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Technical report 06/98

Last
modified March 19, 1998