Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method

DOI10.1016/j.cam.2017.09.022zbMath1478.65060OpenAlexW2755145594MaRDI QIDQ1675981

Publication date: 3 November 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.09.022

zbMATH Keywords

nonlinear ill-posed problem steepest descent method balancing principle

Mathematics Subject Classification ID

Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (1)

Improved local convergence analysis of the Landweber iteration in Banach spaces

Uses Software

TIGRA

Cites Work

Iterative regularization methods for nonlinear ill-posed problems
Iterative solution methods for inconsistent linear equations with nonself-adjoint operators
The problem of the convergence of the iteratively regularized Gauss- Newton method
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Inverse free iterative methods for nonlinear ill-posed operator equations
Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators
Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation
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A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
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A modified landweber method for inverse problems
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Some Newton-type methods for the regularization of nonlinear ill-posed problems
Regularizing properties of a truncated newton-cg algorithm for nonlinear inverse problems
TIGRA an iterative algorithm for regularizing nonlinear ill-posed problems
A convergence analysis of a method of steepest descent and a two–step algorothm for nonlinear ill–posed problems
A Second Degree Method for Nonlinear Inverse Problems
On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
Inverse problems for partial differential equations
An introduction to the mathematical theory of inverse problems
On the characterization of self-regularization properties of a fully discrete projection method for Symm's integral equation
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