**Publications **

，
A revisit on Landweber
iteration (with Roimmel Real), preprint 2020.

，
A note on non-ergodic convergence rate of
alternating direction method of multipliers, preprint 2020.

，
Heuristic discrepancy principle for variational regularization of inverse problems (with H.
Liu, R. Real, X. Lu, X. Jia), preprint 2019. PDF,

，
Analysis of a heuristic rule for the IRGNM in Banach spaces with convex regularization terms (with Z Fu,
Z. Zhang, B Han and Y Chen), ** Inverse Problems**, 2020. Accepted for publication PDF

，
Regularization of inverse problems by two-point
gradient methods in Banach spaces (with Min Zhong
and Wei Wang), *Numer*** . Math.,** 2019. DOI

，
Solving a nonlinear inverse Robin problem through a
linear Cauchy problem (with R. F. Gong, P. J. Yu, X. L. Chen, and W. Han), ** Applicable
Analysis**, Accepted. DOI

，
Heuristic rule for non-stationary iterated Tikhonov
regularization in Banach spaces (with Zhengqiang Zhang). ** Inverse Problems,** 34 (2018), no. 11,
115002, 26 pp. DOI

，
Analysis of the
iteratively regularized Gauss-Newton method under a heuristic rule (with Wei
Wang), ** Inverse Problems**, 34 (2018), 035001 (24pp). DOI

，
On a heuristic
rule for the regularization of inverse problems by the augmented Lagrangian method, *Numer*** .
Math**., 136 (2017), no. 4, 973！992. DOI

，
Preconditioned
alternating direction method of multipliers for solving inverse problems with
constraints (with Yuling Jiao, Xiliang
Lu and Weijie Wang). ** Inverse Problems**, 33
(2017), 025004 (34pp). DOI

，
Landweber-Kaczmarz method in Banach spaces with inexact inner solvers, ** Inverse
Problems**, 32 (2016), 104005 (26pp). PDF DOI

，
Alternating
direction method of multipliers for linear inverse problems (with Yuling Jiao, Xiliang Lu and Weijie Wang), ** SIAM J. Numer.
Anal.**, 54 (2016), no. 4, 2114-2137. PDF DOI

，
Levenberg-Marquardt method
in Banach spaces with general convex regularization
terms (with Hongqi Yang), *Numer*** .
Math.** 133 (2016), no. 4, 655-684. PDF DOI

，
Hanke-Raus heuristic rule
for variational regularization in Banach
spaces, ** Inverse Problems**, 32 (2016), 085008 (19pp). PDF DOI

，
Inexact Newton-Landweber iteration in Banach
spaces with non-smooth convex penalty terms, ** SIAM J. Numer.
Anal.**, 53 (2015), no. 5, 2389--2413. PDF DOI

，
Accelerated Landweber iteration with convex penalty for linear inverse
problems in Banach spaces (with M. Hegland and W. Wang), ** Applicable Analysis**, 94
(2015), 524--547. PDF DOI

，
Nonstationary
iterated Tikhonov regularization in Banach spaces
with uniformly convex penalty terms (with M. Zhong), *Numer*** . Math.**, 127 (2014),
485--513. PDF DOI

，
A fast
nonstationary iterative method with convex penalty for inverse problems in
Hilbert spaces (with X. Lu), ** Inverse Problems**, 30 (2014), 045012
(21pp). PDF DOI

，
Oracle inequality
for a statistical Raus-Gfrerer type rule (with P Mathe), ** SIAM/ASA J. Uncertainty Quantification**,
1 (2013), 386！407. PDF DOI

，
Landweber iteration of Kaczmarz type with general non-smooth convex penalty functionals (with W. Wang), ** Inverse
Problems**, 29 (2013), 085011 (22pp). PDF DOI

，
On the iteratively
regularized Gauss-Newton method in Banach spaces with
applications to parameter identification problems (with M Zhong),
*Numer*** . Math.,** 124(2013),
647！683. PDF DOI

，
Further convergence
results on the iteratively regularized Gauss-Newton methods under the
discrepancy principle, ** Math. Comput.,**
82 (2013), no. 283, 1647！1665. PDF

，
Solving nonlinear
inverse problems by evolution equations based on Gauss-Newton methods, ** Applicable
Analysis**, 92 (2013), 527--548. PDF

，
Nonstationary
iterated Tikhonov regularization for ill-posed problems in Banach
spaces (with L. Stals), ** Inverse Problems**,
28(2012), 104011(15pp). PDF

，
On the order
optimality of the regularization via inexact Newton iteration, *Numer*** . Math.**, 121 (2012),
237！260. PDF

，
Inexact Newton-Landweber iteration for solving nonlinear inverse problems
in Banach spaces, ** Inverse Problems**,
28(2012), 065002(15pp). PDF

，
A general convergence
analysis of some Newton type methods for nonlinear inverse problems, *SIAM*** J Numer. Anal**., 49 (2011), 549！573. PDF

，
Implicit iteration
methods in Hilbert scales under general smoothness conditions (with U. Tautenhahn), *Inverse*** Problems**,
27(2011), 045012 (27pp). PDF

，
Inexact Newton
regularization methods in Hilbert scales (with U. Tautenhahn),
*Numer**.*** Math.**,
117 (2011), 555--579. PDF

，
On a regularized Levenberg-Marquardt method for solving nonlinear inverse
problems, *Numer**.*** Math.**,
115 (2010), 229--259. PDF

，
On a class of
frozen regularized Gauss-Newton methods for nonlinear inverse problems, ** Math.
Comput.,** 79 (2010),
2191！2211. PDF

，
On the discrepancy
principle for some Newton type methods for solving nonlinear inverse problems (with U. Tautenhahn), *Numer*** . Math.**, 111(2009),
509--558. PDF

，
A convergence analysis of the iteratively regularized Gauss-Newton
method under Lipschitz condition, ** Inverse Problems**, 24 (2008),
045002(16pp). PDF

，
Symmetry and
asymmetry: the method of moving spheres (with Yanyan
Li and Haoyuan Xu), ** Advances in Differential
Equations**, 13 (2008), no. 7-8, 601！640. PDF

，
Local Hessian
estimates for some conformally invariant fully nonlinearequations with boundary conditions, ** Differential
and Integral Equations**, 20 (2007), no. 2, 121--132. PDF

，
Estimates and
existence results for a fully nonlinear Yamabe
problem on manifolds with boundary (with Aobing Li
and Yanyan Li), ** Calculus of Variations and PDEs**,
28 (2007), 509--543. PDF

，
Starshaped compact
hypersurfaces with prescribed k-th mean curvature in
hyperbolic space (with Yanyan Li), ** Discrete Contin. Dyn. Syst**., 15
(2006), no. 2, 367！377. PDF

，
Nonexistence of
Positive solutions for some fully nonlinear Elliptic Equations (with Yanyan Li and Haoyuan Xu), ** Methods
and Applications of Analysis**, 12 (2005), no. 4, 441--449. PDF

，
Tikhonov
regularization and a posteriori rules for solving nonlinear ill posed problems
(with U. Tautenhahn), ** Inverse P roblems**, 19 (2003), no. 1, 1--21. PDF

，
A discrete scheme
of Landweber iteration for solving nonlinear
ill-posed problems (With Umberto Amato), ** J. Math. Anal. Appl**.,
253 (2001), no. 1, 187--203. PDF

，
Convergence of the
Red-TOWER method for removing noise from data (with Umberto Amato), ** IEEE
Transaction on Signal Processing**. 49(2001), no. 9, 1931--1939. PDF

，
On the iteratively
regularized Gauss-Newton method for solving nonlinear ill-posed problems, ** Math.
Comput..** 69 (2000), no. 232,
1603--1623. PDF

，
The analysis of a
discrete scheme of the iteratively regularized Gauss-Newton method, ** Inverse
Problems**, 16 (2000), no. 5, 1457--1476. PDF

，
Error estimates of
some Newton-type methods for solving nonlinear inverse problems in Hilbert
scales, ** Inverse Problems**, 16 (2000), no. 1, 187--197. PDF

，
A unified
treatment of regularization methods for linear ill-posed problems, *Numer*** Math. J Chinese Univ**.
(English Ser.), 9(2000), no. 1, 111--120. PDF

，
Converse and
saturation results on Tikhonov regularization together with a posteriori
parameter choice, *Sci*** China Ser A**, 42(1999), no. 11, 1137--1146. PDF

，
A convergence analysis
for Tikhonov regularization of nonlinear ill-posed problems. ** Inverse
Problems**, 15 (1999), no. 4, 1087--1098. PDF

，
On an a posteriori
parameter choice strategy for Tikhonov regularization of nonlinear ill-posed
problems (with Zongyi Hou).
*Numer**.*** Math.**,
83 (1999), no. 1, 139--159. PDF

，
Applications of
the modified discrepancy principle to Tikhonov regularization of nonlinear
ill-posed problems. *SIAM*** J. Numer.
Anal**. 36 (1999), no. 2, 475--490. PDF

，
Asymptotic
regularization methods for ill-posed linear problems (with Zongyi
Hou). ** Chinese Ann. Math. Ser. A**,
20(1999), no. 3, 365！374.

，
A finite
dimensional method for solving nonlinear ill-posed problems (with Z. Y. Hou), ** J. Comput. Math.**,
17(1999), no.3, 315！326.

，
Application of the
modified discrepancy principle to Landweber iteration
for linear ill-posed problems (with Z. Hou), ** J. Fudan Univ. Nat. Sci.**, 37 (1998), no. 5, 635！643.

，
On the choice of
the regularization parameter for ordinary and iterated Tikhonov regularization
of nonlinear ill-posed problems, ** Inverse Problems**, 13 (1997), no. 3,
815！827.

，
Maximum entropy method
for solving operator equation of the first kind, ** Science in China Ser. A**,
40 (1997), no. 5, 483！493.