Qinian Jin

J. Optim. Theory Appl., January, 2026

Augmented Lagrangian method for linear inverse problems with repeated measurement data.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2026

2025

On early stopping of stochastic mirror descent method for ill-posed inverse problems.

[BibT_eX]

[DOI]

Numerische Mathematik, April, 2025

Convergence analysis of a stochastic heavy-ball method for linear ill-posed problems.

[BibT_eX]

[DOI]

Yanjun Liu

J. Comput. Appl. Math., 2025

A revisit on Nesterov acceleration for linear ill-posed problems.

[BibT_eX]

[DOI]

Duo Liu

Qin Huang

J. Complex., 2025

2024

An Adaptive Heavy Ball Method for Ill-Posed Inverse Problems.

[BibT_eX]

[DOI]

Qin Huang

SIAM J. Imaging Sci., 2024

Convergence rates of Landweber-type methods for inverse problems in Banach spaces.

[BibT_eX]

[DOI]

CoRR, 2024

Randomized block coordinate descent method for linear ill-posed problems.

[BibT_eX]

[DOI]

Duo Liu

CoRR, 2024

Stochastic variance reduced gradient method for linear ill-posed inverse problems.

[BibT_eX]

[DOI]

Liuhong Chen

CoRR, 2024

On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2024

2023

On Convergence Rates of Proximal Alternating Direction Method of Multipliers.

[BibT_eX]

[DOI]

J. Sci. Comput., December, 2023

2022

Convergence rates of a dual gradient method for constrained linear ill-posed problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2022

Dual gradient method for ill-posed problems using multiple repeated measurement data.

[BibT_eX]

[DOI]

CoRR, 2022

Dual gradient flow for solving linear ill-posed problems in Banach spaces.

[BibT_eX]

[DOI]

CoRR, 2022

Stochastic mirror descent method for linear ill-posed problems in Banach spaces.

[BibT_eX]

[DOI]

Xiliang Lu

Liuying Zhang

CoRR, 2022

2019

Regularization of inverse problems by two-point gradient methods in Banach spaces.

[BibT_eX]

[DOI]

Numerische Mathematik, 2019

2017

On a heuristic stopping rule for the regularization of inverse problems by the augmented Lagrangian method.

[BibT_eX]

[DOI]

Numerische Mathematik, 2017

2016

Alternating Direction Method of Multipliers for Linear Inverse Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2016

Levenberg-Marquardt method in Banach spaces with general convex regularization terms.

[BibT_eX]

[DOI]

Hongqi Yang

Numerische Mathematik, 2016

2015

Inexact Newton-Landweber Iteration in Banach Spaces with NonSmooth Convex Penalty Terms.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2015

2014

Nonstationary iterated Tikhonov regularization in Banach spaces with uniformly convex penalty terms.

[BibT_eX]

[DOI]

Numerische Mathematik, 2014

2013

On the iteratively regularized Gauss-Newton method in Banach spaces with applications to parameter identification problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2013

Further convergence results on the general iteratively regularized Gauss-Newton methods under the discrepancy principle.

[BibT_eX]

[DOI]

Math. Comput., 2013

Oracle Inequality for a Statistical Raus-Gfrerer-Type Rule.

[BibT_eX]

[DOI]

Peter Mathé

SIAM/ASA J. Uncertain. Quantification, 2013

2012

On the order optimality of the regularization via inexact Newton iterations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2012

2011

A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2011

Inexact Newton regularization methods in Hilbert scales.

[BibT_eX]

[DOI]

Ulrich Tautenhahn

Numerische Mathematik, 2011

Modern Mathematics in Biomedical Imaging.

[BibT_eX]

[DOI]

Int. J. Biomed. Imaging, 2011

2010

On a regularized Levenberg-Marquardt method for solving nonlinear inverse problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2010

On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems.

[BibT_eX]

[DOI]

Math. Comput., 2010

2009

On the discrepancy principle for some Newton type methods for solving nonlinear inverse problems.

[BibT_eX]

[DOI]

Ulrich Tautenhahn

Numerische Mathematik, 2009

2001

Convergence of the Red-TOWER method for removing noise from data.

[BibT_eX]

[DOI]

Umberto Amato

IEEE Trans. Signal Process., 2001

1999

On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems.

[BibT_eX]

[DOI]