On inversion rates for the autoconvolution equation

DOI10.1088/0266-5611/12/4/006zbMath0862.45007OpenAlexW2077687560MaRDI QIDQ4714073

G. Fleischer, Bernd Hofmann

Publication date: 25 May 1997

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/12/4/006

zbMATH Keywords

ill-posed problemsFourier transform techniquenumerical case studyautoconvolution equationinversion rates

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (12)

Nesterov’s accelerated gradient method for nonlinear ill-posed problems with a locally convex residual functional ⋮ Local regularization methods for inverse Volterra equations applicable to the structure of solid surfaces ⋮ On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case ⋮ A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration ⋮ Deautoconvolution in the two-dimensional case ⋮ The local degree of ill-posedness and the autoconvolution equation ⋮ On ill-posedness concepts, stable solvability and saturation ⋮ Non-convex regularization of bilinear and quadratic inverse problems by tensorial lifting ⋮ Regularization Methods for Ill-Posed Problems ⋮ On the Determination of a Density Function by Its Autoconvolution Coefficient ⋮ About a deficit in low-order convergence rates on the example of autoconvolution ⋮ Regularization of an autoconvolution problem in ultrashort laser pulse characterization

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