Convergence Characteristics of Methods of Regularization Estimators for Nonlinear Operator Equations

DOI10.1137/0727096zbMath0724.65136OpenAlexW2128240114MaRDI QIDQ3212255

Finbarr O'Sullivan

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727096

zbMATH Keywords

convergencesystem identificationnonlinear integral equationspenalty functionalabstract nonlinear regression modelfirst-order linearizationregularization estimators

Mathematics Subject Classification ID

General nonlinear regression (62J02) Numerical optimization and variational techniques (65K10) Other nonlinear integral equations (45G10) Inverse problems for PDEs (35R30) Identification in stochastic control theory (93E12) Rate of convergence, degree of approximation (41A25) Applications to the sciences (65Z05) Probabilistic methods, stochastic differential equations (65C99)

Related Items (8)

Asymptotic optimality of generalized cross-validation for choosing the regularization parameter ⋮ Smoothing Spline Semiparametric Density Models ⋮ Tikhonov regularization with oversmoothing penalty for nonlinear statistical inverse problems ⋮ Convergence analysis of Tikhonov regularization for non-linear statistical inverse problems ⋮ Convex regularization in statistical inverse learning problems ⋮ Optimal rates for regularization of statistical inverse learning problems ⋮ Penalized estimators for non linear inverse problems ⋮ Nonlinear Tikhonov regularization in Hilbert scales with balancing principle tuning parameter in statistical inverse problems

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