An optimal regularization method for convolution equations on the sourcewise represented set

DOI10.1515/jiip-2014-0047zbMath1325.45005OpenAlexW2012561080MaRDI QIDQ887663

Ye Zhang, Anatoly G. Yagola, Dmitry V. Lukyanenko

Publication date: 27 October 2015

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2014-0047

zbMATH Keywords

Fourier transforminverse problemconvolutionerror estimationregularization methodoptimal recovery

Mathematics Subject Classification ID

Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear operators and ill-posed problems, regularization (47A52)

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Using Lagrange principle for solving two-dimensional integral equation with a positive kernel ⋮ A proximal iteratively regularized Gauss-Newton method for nonlinear inverse problems ⋮ Parameter-free resolution of the superposition of stochastic signals

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