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Items for "linear ill-posed problem"

On the analysis of distance functions for linear ill-posed problems with an application to the integration operator in L2

The paper is devoted to the analysis of linear ill-posed operator equations Ax = y with solution x0 in a Hilbert space setting...

Keywords: linear ill-posed problem, regularization, distance function, approximate source condition, integral operator, eigenvalue problem

04/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter
Impact of conditional stability: Convergence rates for general linear regularization methods

The paper is devoted to the analysis of linear ill-posed operator equations Ax = y with an injective, compact linear forward operator A : X → Y mapping between Hilbert spaces X, Y...

Keywords: linear ill-posed problem, general linear regularization methods, conditional stability, profile function, source condition, convergence rates

01/2008 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter