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A Convergence Result for Some Krylov–Tikhonov Methods in Hilbert Spaces
2018
ABSTRACTIn this paper, we present a convergence result for some Krylov projection methods when applied to the Tikhonov minimization problem in its general form. In particular, we consider the method based on the Arnoldi algorithm and the one based on the Lanczos bidiagonalization process.
Keywords:
- Mathematical optimization
- Tikhonov regularization
- Mathematical analysis
- Modes of convergence
- Mathematics
- Hilbert's fourteenth problem
- Compact operator on Hilbert space
- Modes of convergence (annotated index)
- Hilbert manifold
- Compact convergence
- Topological tensor product
- Applied mathematics
- Reproducing kernel Hilbert space
- Hilbert space
- Weak convergence
- Correction
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