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Iterative Solution Methods (Q2789807)

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Language	Label	Description	Also known as
English	Iterative Solution Methods	scientific article

Statements

scholarly article

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Iterative Solution Methods (English)

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Barbara Kaltenbacher

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Andreas Neubauer

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Handbook of Mathematical Methods in Imaging

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publication date

2 March 2016

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-1-4939-0790-8_9

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Iterative total variation schemes for nonlinear inverse problems

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A Lepskij-type stopping rule for regularized Newton methods

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Iteratively Regularized Gauss–Newton Method for Nonlinear Inverse Problems with Random Noise

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On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations

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Higher-order TV methods -- enhancement via Bregman iteration

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Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications

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On convergence rates for the iteratively regularized Gauss-newton method

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Primal and dual Bregman methods with application to optical nanoscopy

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Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems

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Error estimation for Bregman iterations and inverse scale space methods in image restoration

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Convergence of the linearized Bregman iteration for ℓ₁-norm minimization

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Linearized Bregman iterations for compressed sensing

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Linearized Bregman Iterations for Frame-Based Image Deblurring

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Output least squares stability in elliptic systems

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An iterative thresholding algorithm for linear inverse problems with a sparsity constraint

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On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations

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Inexact Newton Methods

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A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions

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On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables

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Fast fully iterative Newton-type methods for inverse problems

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$\mathcal{Y}$-Scale Regularization

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Preconditioning Landweber iteration in Hilbert scales

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The instability of some gradient methods for ill-posed problems

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A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction

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Quasi-Newton methods for large-scale electromagnetic inverse problems

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Preconditioned all-at-once methods for large, sparse parameter estimation problems

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Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis

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Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications

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On regularization methods of EM-Kaczmarz type

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A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems

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Regularizing properties of a truncated newton-cg algorithm for nonlinear inverse problems

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The regularizing Levenberg-Marquardt scheme is of optimal order

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A convergence analysis of the Landweber iteration for nonlinear ill-posed problems

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Iterative total variation regularization with non-quadratic fidelity

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Modified Landweber Iteration in Banach Spaces—Convergence and Convergence Rates

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Regularization of nonlinear ill-posed problems by exponential integrators

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Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem

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Regularization of exponentially ill-posed problems

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Iteratively regularized Newton-type methods for general data misfit functionals and applications to Poisson data

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Inexact Newton–Landweber iteration for solving nonlinear inverse problems in Banach spaces

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Some Newton-type methods for the regularization of nonlinear ill-posed problems

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On broyden's method for the regularization of nonlinear ill-posed problems

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A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems

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A Projection-Regularized Newton Method for Nonlinear Ill-Posed Problems and Its Application to Parameter Identification Problems with Finite Element Discretization

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On the regularizing properties of a full multigrid method for ill-posed problems

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Convergence rates for the iteratively regularized Gauss–Newton method in Banach spaces

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Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions

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A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems

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Convergence rates for an iteratively regularized Newton–Landweber iteration in Banach space

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Convergence rates of the continuous regularized Gauss—Newton method

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Iterative regularization methods for nonlinear ill-posed problems

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Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems

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On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization

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Multilevel algorithms for ill-posed problems

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SCALES OF BANACH SPACES

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A derivative-free Landweber iteration for parameter identification in certain elliptic PDEs

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Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions

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Splitting Algorithms for the Sum of Two Nonlinear Operators

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On properties of the iterative maximum likelihood reconstruction method

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Tikhonov regularization of nonlinear III-posed problems in hilbert scales

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On Landweber iteration for nonlinear ill-posed problems in Hilbert scales

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A convergence rate result for a steepest descent method and a minimal error method for the solution of nonlinear ill-posed problems

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An Iterative Regularization Method for Total Variation-Based Image Restoration

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The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis

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On the regularization of nonlinear ill-posed problems via inexact Newton iterations

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On convergence rates of inexact Newton regularizations

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Inexact Newton Regularization Using Conjugate Gradients as Inner Iteration

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A modified Landweber iteration for solving parameter estimation problems

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Nonlinear iterative methods for linear ill-posed problems in Banach spaces

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Regularization methods in Banach spaces.

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The iteratively regularized Gauss–Newton method with convex constraints and applications in 4Pi microscopy

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A Statistical Model for Positron Emission Tomography

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4939-0790-8_9

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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:2789807

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