Subspace-restricted singular value decompositions for linear discrete ill-posed problems
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- J. Computational Applied Mathematics
دوره 235 شماره
صفحات -
تاریخ انتشار 2010