On complex-valued deautoconvolution of compactly supported functions with sparse Fourier representation

DOI10.1088/0266-5611/32/10/104006zbMath1431.47005OpenAlexW2487403001MaRDI QIDQ2832553

Jens Flemming, Bernd Hofmann, Steven K. Burger

Publication date: 11 November 2016

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

Full work available at URL: https://semanticscholar.org/paper/ea6efde84ebf0c9b9288dbb26bdeda44073c60fc

zbMATH Keywords

convergence ratesTikhonov regularizationsparsity constraintsill-posed inverse problemsdeautoconvolutionnonlinearity conditionsvariational source conditions

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (8)

A converse result for Banach space convergence rates in Tikhonov-type convex regularization of ill-posed linear equations ⋮ Nesterov’s accelerated gradient method for nonlinear ill-posed problems with a locally convex residual functional ⋮ On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case ⋮ Deautoconvolution in the two-dimensional case ⋮ Existence of variational source conditions for nonlinear inverse problems in Banach spaces ⋮ Non-convex regularization of bilinear and quadratic inverse problems by tensorial lifting ⋮ Sparse Regularization of Inverse Problems by Operator-Adapted Frame Thresholding ⋮ A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data

Uses Software

• TIGRA

This page was built for publication: On complex-valued deautoconvolution of compactly supported functions with sparse Fourier representation