Regularization and approximation of linear operator equations in reproducing kernel spaces

DOI10.1090/S0002-9904-1974-13684-0zbMath0309.47012MaRDI QIDQ4067618

Grace Wahba, M. Zuhair Nashed

Publication date: 1974

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) General theory of numerical analysis in abstract spaces (65J05) Numerical methods for integral equations (65R20) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (7)

Operator-theoretic and regularization approaches to ill-posed problems ⋮ Regularized Quadrature Methods for Fredholm Integral Equations of the First Kind ⋮ Inverse gravimetry: background material and multiscale mollifier approaches ⋮ Moment discretization for ill-posed problems with discrete weakly bounded noise ⋮ Some exponentially decreasing error bounds for a numerical inversion of the Laplace transform ⋮ Modern regularization methods for inverse problems ⋮ Ill-Posed Problems: Operator Methodologies of Resolution and Regularization

Cites Work

• Unnamed Item
• A class of approximate solutions to linear operator equations
• Generalized Inverses in Reproducing Kernel Spaces: An Approach to Regularization of Linear Operator Equations
• Convergence Rates of Approximate Least Squares Solutions of Linear Integral and Operator Equations of the First Kind
• Theory of Reproducing Kernels

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