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Source Conditions for Non-Quadratic Tikhonov Regularization - MaRDI portal

Source Conditions for Non-Quadratic Tikhonov Regularization (Q5119511)

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scientific article; zbMATH DE number 7241792

Language	Label	Description	Also known as
English	Source Conditions for Non-Quadratic Tikhonov Regularization	scientific article; zbMATH DE number 7241792

Statements

scholarly article

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Source Conditions for Non-Quadratic Tikhonov Regularization (English)

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Markus Grasmair

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Numerical Functional Analysis and Optimization

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publication date

28 August 2020

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full work available at URL

https://arxiv.org/abs/2002.09336

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zbMATH Keywords

variational regularization

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linear ill-posed operator equations

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Hilbert space

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Hölder-type source conditions

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Hölder-type convergence rates

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linear inverse problems

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interpolation inequality

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Tikhonov regularization

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non-quadratic convex penalty

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MaRDI profile type

MaRDI publication profile

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Convergence rates of convex variational regularization

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A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators

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An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems

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Generalized Bregman distances and convergence rates for non-convex regularization methods

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Approximate source conditions in Tikhonov–Phillips regularization and consequences for inverse problems with multiplication operators

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Convergence rates for regularization of ill-posed problems in Banach spaces by approximate source conditions

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Tikhonov regularization in Banach spaces—improved convergence rates results

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Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces

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Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces

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Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces

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Variational methods in imaging

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Analysis of bounded variation penalty methods for ill-posed problems

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A study in the BV space of a denoising-deblurring variational problem

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Linear convergence rates for Tikhonov regularization with positively homogeneous functionals

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Convex analysis and monotone operator theory in Hilbert spaces

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Minimization of Tikhonov functionals in Banach spaces

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Tikhonov regularization in <i> L <sup>p</sup> </i> applied to inverse medium scattering

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Non-linear Tikhonov regularization in Banach spaces for inverse scattering from anisotropic penetrable media

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Sparse regularization with <i> l <sup>q</sup> </i> penalty term

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Regularization of linear ill-posed problems by the augmented Lagrangian method and variational inequalities

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Identifiers

10.1080/01630563.2020.1772289

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5119511

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