A deterministic approach to optimal regularization —The finite dimensional case—
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Publication:3769867
DOI10.1007/BF03167812zbMath0632.65062MaRDI QIDQ3769867
Publication date: 1987
Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)
singular value decompositionHilbert spacesgeneralized inverselinear ill-posed problemsFredholm integral equations of the first kindoptimal regularization parameterTikhonov-regularization
Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Fredholm integral equations (45B05)
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Cites Work
- Unnamed Item
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- Singular value decomposition and least squares solutions
- Pitfalls in the Numerical Solution of Linear Ill-Posed Problems
- An Augmented Galerkin Method for First Kind Fredholm Equations
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind
- Operator-theoretic and computational approaches to Ill-posed problems with applications to antenna theory
- On the Equivalence of Regularization and Certain Reproducing Kernel Hilbert Space Approaches for Solving First Kind Problems
- Algorithms for the regularization of ill-conditioned least squares problems
- Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
- A Numerical Method for Solving Fredholm Integral Equations of the First Kind Using Singular Values
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