Invertible smoothing preconditioners for linear discrete ill-posed problems
By Daniela Calvetti, Lothar Reichel, A. Shuibi. 2005
58 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e7455d362138769a53e62e0096187e447307a284
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In Atomic and Molecular Physics, and Optics
In Computational Theory and Mathematics
- Bryan Lewis
- Lothar Reichel
- Michiel E. Hochstenbach
- Qiang Ye
- Per Christian Hansen
- Yvan Notay
- Martin Stoll
In Mathematical Physics
Citations in the corpus
- Tikhonov regularization based on generalized Krylov subspace methods (2012, background): “Examples of regularization operators L that allow efficient evaluation of matrix-vector products with L†A and AL † A include banded matrices, circulant matrices, orthogonal projections, and sparse nonsingular matrices that allow fast LU-factorization and fast forward- and back-substitution; see [6,9”
- Arnoldi-Tikhonov regularization methods (2009, background): “[10], Hansen and Jensen [20], and Morigi et al.”
- An iterative method for Tikhonov regularization with a general linear regularization operator (2010, background): “This includes regularization operators with a small bandwidth, circulant matrices, orthogonal projections, and sparse nonsingular matrices that permit fast LU factorization as well as fast forward and back substitution; see [7, 9, 13, 18, 21, 22] for some examples.”