1. “On Glowinski's Open Question on the Alternating Direction Method of Multipliers” Tao M.|Yuan X.-M. (2018-06-10) Journal of Optimization Theory and Applications 1(2018-06-10) : 163–196. pdf

2. “Decomposition methods for computing directional stationary solutions of a class of nonsmooth nonconvex optimization problems” Pang J.-S.|Tao M. (2018-05-15) SIAM Journal on Optimization 28(2) (2018-05-15) : 1640–1669. pdf

3. “The generalized proximal point algorithm with step size 2 is not necessarily convergent” Tao M.|Yuan X.-M. (2018-03-03) Computational Optimization and Applications 70(2018-03-03) : 827–839. pdf

4. “Convergence analysis of the direct extension of ADMM of multiple-block separable convex minimization” Tao M.|Yuan X.-M. (2017-10-13) Advances in Computaional Mathematics 44(3)(2017-10-13) : 773–813. pdf

5. “On the optimal linear convergence rate of a generalized proximal point algorithm” Tao M.|Yuan X.-M. (2017-07-12) Journal of Scientific Computing 74(2)(2017-07-12) : 826–850. pdf

6. “Convergence rate analysis for the alternating direction method of multipliers with a substitution procedure for separable convex programming.” He B.-S.|Tao M.|Yuan X.-M. (2017-02-07) Mathematics of Operations Research, 42(2017-02-07) : no.3, 662-691. pdf

7. “Accelerated Uzawa methods for convex optimization.” Tao M.|Yuan X.-M. (2016-10-20) Mathematics of Computation, 86(2016-10-20) : 1821-1845. pdf

8. “Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints.” Bai Z.-Z. |Tao M. (2016-07-24) BIT Numerical Mathematics, 56(2016-07-24) : no.2, 399-422. pdf

9. “A splitting method for separable convex programming.” He B.-S. |Tao M.|Yuan X.-M. (2015-01-03) IMA Journal of Numerical Analysis, 35(2015-01-03) : 394-426. pdf

10. “Some parallel splitting methods for separable convex programming with O(1/t) convergence rate.” Tao M.* (2014-04-01) Pacific Journal of Optimization, 10(2014-04-01) : 359-384. pdf

11. “Constrained total variational deblurring models and fast algorithms based on alternating direction method of multipliers.” Chan R.-H. |Tao M.|Yuan X.-M. (2013-03-28) SIAM Journal on Imaging Science, 6(2013-03-28) : 680-697. pdf

12. “On the O(1/t) convergence rate of alternating direction method with logarithmic-quadratic proximal regularization” Tao M.|Yuan X.-M. (2012-10-31) SIAM Journal on Optimization 22(4)(2012-10-31) : 1431-1448. pdf

13. “An inexact parallel splitting augmented Lagrangian methods for monotone variational inequalities with separable structures.” Tao M.| Yuan X.-M. (2012) Computational Optimization with Applications, 52(2012) : 439-461. pdf

14. “Alternating direction method with Gaussian back substitution for separable convex programming.” He B.-S.|Tao M.|Yuan X.-M. (2012) SIAM Journal on Optimization, 22(2012) : 313-340. pdf

15. “Recovering low-rank and sparse components of matrices from incomplete and noisy observations” Tao M.|Yuan X.-M. (2011-01-04) SIAM Journal on Optimization 21(1)(2011-01-04) : 57-81. pdf

16. “Solving a class of matrix minimization problems by linear variational inequality approaches.” Tao M.|Yuan X.-M. |He B.-S. (2011) Linear Algebra and Applications, 434(2011) : 2343-2352. pdf