2

On a regularized Levenberg–Marquardt method for solving nonlinear inverse problems

Qinian Jin
Journal:
Numerische Mathematik
Year:
2010
Language:
english
File:
PDF, 346 KB
english, 2010
6

Maximum entropy method for solving operator equations of the first kind

Qinian Jin, Zongyi Hou
Journal:
Science China Mathematics
Year:
1997
Language:
english
File:
PDF, 522 KB
english, 1997
8

Inexact Newton regularization methods in Hilbert scales

Qinian Jin, Ulrich Tautenhahn
Journal:
Numerische Mathematik
Year:
2011
Language:
english
File:
PDF, 284 KB
english, 2011
9

On the order optimality of the regularization via inexact Newton iterations

Qinian Jin
Journal:
Numerische Mathematik
Year:
2012
Language:
english
File:
PDF, 294 KB
english, 2012
14

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

Jin, Qinian, Mathé, Peter
Journal:
SIAM/ASA Journal on Uncertainty Quantification
Year:
2013
Language:
english
File:
PDF, 322 KB
english, 2013
15

Solving nonlinear inverse problems by evolution equations based on Gauss–Newton methods

Jin, Qinian
Journal:
Applicable Analysis
Year:
2013
Language:
english
File:
PDF, 288 KB
english, 2013
16

Nonstationary iterated Tikhonov regularization for ill-posed problems in Banach spaces

Jin, Qinian, Stals, Linda
Journal:
Inverse Problems
Year:
2012
Language:
english
File:
PDF, 364 KB
english, 2012
17

A fast nonstationary iterative method with convex penalty for inverse problems in Hilbert spaces

Jin, Qinian, Lu, Xiliang
Journal:
Inverse Problems
Year:
2014
Language:
english
File:
PDF, 3.50 MB
english, 2014
18

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

Jin, Qinian
Journal:
Inverse Problems
Year:
2012
Language:
english
File:
PDF, 460 KB
english, 2012
19

Landweber iteration of Kaczmarz type with general non-smooth convex penalty functionals

Jin, Qinian, Wang, Wei
Journal:
Inverse Problems
Year:
2013
Language:
english
File:
PDF, 1.76 MB
english, 2013
20

Implicit iteration methods in Hilbert scales under general smoothness conditions

Jin, Qinian, Tautenhahn, Ulrich
Journal:
Inverse Problems
Year:
2011
Language:
english
File:
PDF, 629 KB
english, 2011
21

Modern Mathematics in Biomedical Imaging

Ye, Yangbo, Plemmons, Robert J., Nagy, James G., Jin, Qinian
Journal:
International Journal of Biomedical Imaging
Year:
2011
Language:
english
File:
PDF, 43 KB
english, 2011
22

Levenberg–Marquardt method in Banach spaces with general convex regularization terms

Jin, Qinian, Yang, Hongqi
Journal:
Numerische Mathematik
Year:
2016
Language:
english
File:
PDF, 1014 KB
english, 2016
26

Hanke-Raus heuristic rule for variational regularization in Banach spaces

Jin, Qinian
Journal:
Inverse Problems
Year:
2016
Language:
english
File:
PDF, 499 KB
english, 2016
27

Landweber-Kaczmarz method in Banach spaces with inexact inner solvers

Jin, Qinian
Journal:
Inverse Problems
Year:
2016
Language:
english
File:
PDF, 1.60 MB
english, 2016
29

Analysis of the iteratively regularized Gauss–Newton method under a heuristic rule

Jin, Qinian, Wang, Wei
Journal:
Inverse Problems
Year:
2018
Language:
english
File:
PDF, 1.76 MB
english, 2018
30

Heuristic rule for non-stationary iterated Tikhonov regularization in Banach spaces

Zhang, Zhengqiang, Jin, Qinian
Journal:
Inverse Problems
Year:
2018
Language:
english
File:
PDF, 2.14 MB
english, 2018
31

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

Zhong, Min, Wang, Wei, Jin, Qinian
Journal:
Numerische Mathematik
Year:
2019
Language:
english
File:
PDF, 1.04 MB
english, 2019
32

A revisit on Landweber iteration

Real, Rommel, Jin, Qinian
Journal:
Inverse Problems
Year:
2020
File:
PDF, 427 KB
2020