Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637230 | Applied Mathematics and Computation | 2006 | 15 Pages |
Abstract
In this work, we analyze the behavior of the active-set method for the nonnegative regularization of discrete ill-posed problems. In many applications, the solution of a linear ill-posed problem is known to be nonnegative. Standard Tikhonov regularization often provides an approximated solution with negative entries. We apply the active-set method to find a nonnegative approximate solution of the linear system starting from the Tikhonov regularized one. Our numerical experiments show that the active-set method is effective in reducing the oscillations in the Tikhonov regularized solution and in providing a nonnegative regularized solution of the original linear system.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
G. Landi, F. Zama,