Orthogonal projection regularization operators

11 years 27 days ago
Orthogonal projection regularization operators
Abstract. Tikhonov regularization often is applied with a finite difference regularization operator that approximates a low-order derivative. This paper proposes the use of orthogonal projections as regularization operators, e.g., with the same null space as commonly used finite difference operators. Applications to iterative and SVD-based methods for Tikhonov regularization are described. Truncated iterative and SVD methods are also considered. Key words. ill-posed problem, regularization operator, orthogonal projection, Tikhonov regularization, truncated iteration, SVD, GSVD.
Serena Morigi, Lothar Reichel, Fiorella Sgallari
Added 27 Dec 2010
Updated 27 Dec 2010
Type Journal
Year 2007
Where NA
Authors Serena Morigi, Lothar Reichel, Fiorella Sgallari
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