Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640547 | Journal of Computational and Applied Mathematics | 2010 | 12 Pages |
Abstract
The truncated singular value decomposition is a popular solution method for linear discrete ill-posed problems. These problems are numerically underdetermined. Therefore, it can be beneficial to incorporate information about the desired solution into the solution process. This paper describes a modification of the singular value decomposition that permits a specified linear subspace to be contained in the solution subspace for all truncations. Modifications that allow the range to contain a specified subspace, or that allow both the solution subspace and the range to contain specified subspaces also are described.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Michiel E. Hochstenbach, Lothar Reichel,