Nonconvergence results for the application of least-squares estimation to ill-posed problems
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Publication:1253525
DOI10.1007/BF01686719zbMath0396.65030MaRDI QIDQ1253525
Publication date: 1980
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
convergenceapproximationnonconvergenceill-posed problemsparametric representationleast-squares estimation
Numerical optimization and variational techniques (65K10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (15)
Theory and the methods of solution of ill-posed problems ⋮ Directional convergence of spectral regularization method associated to families of closed operators ⋮ Operator-theoretic and regularization approaches to ill-posed problems ⋮ Iteration methods for convexly constrained ill-posed problems in hilbert space ⋮ Global saturation of regularization methods for inverse ill-posed problems ⋮ Existence, uniqueness and stability of minimizers of generalized Tikhonov-Phillips functionals ⋮ A factorization of least-squares projection schemes for ill-posed problems ⋮ Data driven regularization by projection ⋮ A numerical study of variable coefficient elliptic Cauchy problem via projection method ⋮ Infinite-dimensional inverse problems with finite measurements ⋮ Generalized qualification and qualification levels for spectral regularization methods ⋮ A convergence analysis of regularization by discretization in preimage space ⋮ Regularization of an autoconvolution problem in ultrashort laser pulse characterization ⋮ Ill-Posed Problems: Operator Methodologies of Resolution and Regularization ⋮ The solution of infinitely ill-conditioned weakly-singular problems
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