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一、软件:

  1.SMCG_BB (Hongwei Liu, Zexian Liu)

  2.GM_AOS(cone) (Zexian Liu, Hongwei Liu)

 

二、论文: 

在线的主要论文

1. Huali Zhao, Hongwei Liu
   Infeasible Mehrotra-type predictor–corrector algorithm for cartesian P*(κ) nonlinear complementarity problems over symmetric cones
   International Journal of Computer Mathematics,DOI: 10.1080/00207160.2018.1429597. 2018/2.

2. Jun Yang, Hongwei Liu
   Strong convergence result for solving monotone variational inequalities in Hilbert space
   Numerical Algorithms,DOI:10.1007/s11075-018-0504-4. 2018/3.

3.Weiwei Wang, Hongwei Liu, Hongmei Bi
  Simplified full Nesterov–Todd step infeasible interior-point algorithm for semidefinite optimization based on a kernel function
  Journal of Applied Mathematics and Computing, DOI:10.1007/s12190-018-1187-7. 2018/5.

4. Huali Zhao, Hongwei Liu
   Iterative complexities of a class of homogeneous algorithms for monotone nonlinear complementarity problems over symmetric cones
   Optimization,DOI: 10.1080/02331934.2018.1477942. 2018/6.

5. Ting Wang, Zexian Liu, Hongwei Liu
   A new subspace minimization conjugate gradient method based on tensormodel for unconstrained optimization
   International Journal of Computer Mathematics. DOI: 10.1080/00207160.2018.1542136. 2018/8

6. Jun Yang, Hongwei Liu
   Modified subgradient extragradient algorithms for solving monotone variational inequalities
   Optimization, DOI: 10.1080/02331934.2018.1523404. 2018.9.

7. Hongwei Liu, Zexian Liu
   An Efficient Barzilai–Borwein Conjugate Gradient Method for Unconstrained Optimization
   Journal of Optimization Theory and Applications. DOI: 10.1007/s10957-018-1393-3. 2018.9

8. Keke Zhang, Hongwei Liu, Zexian Liu
   A New Dai-Liao Conjugate Gradient Method with Optimal Parameter Choice
   Numerical Functional Analysis and Optimization. DOI:10.1080/01630563.2018.1535506. 2018/10

2018年的主要论文

 1. Zexian Liu, Hongwei Liu
   Several efficient gradient methods with approximate optimal stepsizes for large scale unconstrained optimization
   Journal of Computational and Applied Mathematics, 328, pp 400-413,2018/1.期刊论文.
 2. Zexian Liu, Hongwei Liu, Xiaoliang Dong
   An efficient gradient method with approximate optimal stepsize for the strictly convex quadratic minimization problem
   Optimization,67(3), pp 427-440, 2018.期刊论文.
 3. Huali Zhao, Hongwei Liu
   A New Infeasible Mehrotra-Type Predictor-Corrector Algorithm for Nonlinear Complementarity Problems Over Symmetric Cones
   Journal of Optimization Theory and Applications, 176(2),pp 410-427,2018/2.期刊论文.

4. Huali Zhao, Hongwei Liu
   Infeasible path-following interior point algorithm for Cartesian P*(κ)nonlinear complementarity problems over symmetric cones
   International Journal of Computer Mathematics, 95(5),pp 845-869,2018/5.期刊论文.

5. Zexian Liu, Hongwei Liu
   An efficient gradient method with approximate optimal stepsize for large-scale unconstrained optimization
   Numerical Algorithms,78(1),pp 21-39,2018/5.期刊论文.

6. Hongwei Liu, Zexian Liu, Xiaoliang Dong
   A new adaptive Barzilai and Borwein method for unconstrained optimization
   Optimization Letters,12(4),pp 845-873,2018/6.期刊论文.

7. Yaling Zhang, Hongwei Liu
   A Projection Neural Network for Circular Cone Programming
   Mathematical Problems in Engineering, 2018,Article ID 4607853,2018/6.期刊论文.

8. Weiwei Wang, Hongwei Liu, Hongmei Bi
   Simplified infeasible interior-point algorithm for linear optimization based on a simple function
   Operations Research Letters.46(5), pp 538-542. 2018/9. 期刊论文https://doi.org/10.1016/j.orl.2018.08.009

9. Ming Li, Hongwei Liu, Zexian Liu
   A new subspace minimization conjugate gradient method with nonmonotone line search for unconstrained optimization
   Numerical Algorithms, 79(1), pp 195–219, 2018/9. 期刊论文

10. Ming Li, Hongwei Liu, Zexian Liu
      A new family of conjugate gradient methods for unconstrained optimization
      Journal of Applied Mathematics and Computing, 58(1-2), pp 219–234. 2018/10.期刊论文

11. Jun Yang, Hongwei Liu  
      A modified projected gradient method for monotone variational inequalities  
      Journal of Optimization Theory and Applications, 179(1), pp 197–211. 2018/10.期刊论文 

2017年的主要论文

 1. Ma Xiaojue, Liu Hongwei
   A superlinearly convergent wide-neighborhood predictor–corrector interior-point algorithm for linear programming
   Journal of Applied Mathematics and Computing, 55(1-2), pp 669-682,2017/10.期刊论文.

2016年的主要论文

1. Yakui Huang, Hongwei Liu, Tengteng Yu
    Smoothing projected cyclic Barzilai–Borwein method for stochastic linear complementarity problems
    International Journal of Computer Mathematics, 93(7), pp 1188-1199,2016/7.期刊论文.

2. Yakui Huang,  Hongwei Liu
    Smoothing projected Barzilai–Borwein method for constrained non-Lipschitz optimization
    Computational Optimization and Applications, 65(3),pp 671-698,2016/12.期刊论文.

3. Wang Weiwei, Bi Hongmei, Liu Hongwei
    A full-Newton step interior-point algorithm for linear optimization based on a finite barrier
   Operations Research Letters, 44( 6), pp 750-753, 2016/11.期刊论文.

 

 2015年的主要论文

1. Liu Xinze, Hongwei Liu, Wang Weiwei 
    Polynomial convergence of Mehrotra-type predictor–corrector algorithm for the Cartesian P*(k)-LCP over symmetric cones
    Optimization: A Journal of Mathematical Programming and Operations Research, 64(4), pp 815-837,2015/4.期刊论文.

2. Ximei Yang, Hongwei Liu, Changhe Liu
    A Mehrotra-type predictor–corrector infeasible-interior-point method with a new one-norm neighborhood for symmetric optimization
   Journal of Computational and Applied Mathematics,283, pp 106–121,2015/8.期刊论文.

3. Yakui Huang, Hongwei Liu, Sha Zhou
    An efficient monotone projected Barzilai-Borwein method for nonnegative matrix factorization
    Applied Mathematics Letters, 45, pp 12-17, 2015/7. 期刊论文.

4. XiaoLiang Dong, Hongwei Liu, Yubo He
    A Self-Adjusting Conjugate Gradient Method with Sufficient Descent Condition and Conjugacy Condition
    Journal of Optimization Theory & Applications, 165(1), pp 225-241,2015/4.期刊论文.

5. XiaoLiang Dong, Hongwei Liu, Yubo He, Xi Mei Yang
    A modified Hestenes–Stiefel conjugate gradient method with sufficient descent condition and conjugacy condition
    Journal of Computational & Applied Mathematics, 281, pp 239–249,2015/6.期刊论文.

6. Yakui Huang, Hongwei Liu
    On the rate of convergence of projected Barzilai–Borwein methods
    Optimization Methods and Software, 30(4), pp 880-892,2015/4.期刊论文.

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