Large linear discrete ill-posed problems with contaminated data are often solved with the aid of Tikhonov regularization. Commonly used regularization matrices are finite difference approximations of a suitable derivative and are rectangular. This paper discusses the design of square regularization matrices that can be used in iterative methods based on the Arnoldi process for large-scale Tikhonov regularization problems.

Square regularization matrices for large linear discrete ill-posed problems

DONATELLI, MARCO;
2012-01-01

Abstract

Large linear discrete ill-posed problems with contaminated data are often solved with the aid of Tikhonov regularization. Commonly used regularization matrices are finite difference approximations of a suitable derivative and are rectangular. This paper discusses the design of square regularization matrices that can be used in iterative methods based on the Arnoldi process for large-scale Tikhonov regularization problems.
2012
Donatelli, Marco; Neuman, A.; Reichel, L.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/1758469
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