A new Tikhonov regularization method
β Scribed by Martin Fuhry; Lothar Reichel
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 379 KB
- Volume
- 59
- Category
- Article
- ISSN
- 1017-1398
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π SIMILAR VOLUMES
Tikhonov regularization for large-scale linear ill-posed problems is commonly implemented by determining a partial Lanczos bidiagonalization of the matrix of the given system of equations. This paper explores the possibility of instead computing a partial Arnoldi decomposition of the given matrix. C
The paper is devoted to developing the Tikhonov-type regularization algorithm of finding efficient solutions to the vector optimization problem for a mapping between finite dimensional Hilbert spaces with respect to the partial order induced by a pointed closed convex cone. We prove that under some