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An optimal parameter choice for regularized ill-posed problems

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Publication:1110786
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DOI10.1007/BF01199309zbMath0657.47017MaRDI QIDQ1110786

Julio E. Guacaneme

Publication date: 1988

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

pseudoinversebounded linear operator from a Hilbert space to another Hilbert spacemodification of Schock's criterionnumerical instability of solutionsoptimal convergence rate for Tikhonov regularization


Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Structure theory of linear operators (47A65)


Related Items

Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates ⋮ Finite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principle ⋮ A generalization of Arcangeli's method for ill-posed problems leading to optimal rates ⋮ Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates ⋮ A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization



Cites Work

  • Parameter choice by discrepancy principles for the approximate solution of ill-posed problems
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