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      变分不等式的投影收缩算法论文介绍

 

    [1]   B.S. He, A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming

           〖Applied Mathe. and Opt., 25: 247--262, (1992).

    [2]   B.S. He, A new method for a class of linear variational inequalities,

           〖 Mathematical Programming, 661994), pp. 137-144.          Only the first  4 pages is needed to reading

    [3]  B.S. He, Solving a class of linear projection equations,

          〖Numerische Mathematik,68 (1994) pp. 71-80, 1994.         Only the first  6 pages is needed to reading

    [4] B.S. He, A class of projection and contraction methods for monotone variational inequalities,

     〖Appl. Math.  Optimization, 35: 69--76 (1997).

    [5] B.S He, and L.Z. Liao, Improvements of some projection methods for monotone nonlinear variational inequalities

           〖Journal of  Optimization Theory and Applications〗, 112: 111--128,(2002).

    [6] B.S. He, X.M. Yuan, and J.J.Z. Zhang,  Comparison of two kinds of prediction-correction methods for monotone variational inequalities,

     〖Computational Optimization and Applications, 27: 247--267 (2004).

     [7]  B.S. He, L.Z. Liao and X. Wang, Proximal-like contraction methods for monotone variational inequalities in a unified framework I,

          〖Computational Optimization and Applications,   51(2012), 649-679.

     [8]  B.S. He, L.Z. Liao and X. Wang, Proximal-like contraction methods for monotone variational inequalities in a unified framework II,

          〖Computational Optimization and Applications,  51(2012), 681-708.

     [9] X.J. Cai, G.Y. Gu and B.S. He,  On the O(1/t) convergence rate of the projection and contraction methods for variational inequalities

           with Lipschitz continuous monotone operators,  Comput. Optim. Appl., 57(2014), 339-363.

   [10] C. H. Chen, X. L. Fu, B.S. He and X. M. Yuan,  On the iterative comlpexity of some projection methods for monotone linear variational inequalities,

          Journal of  Optimization Theory and Applications〗, 172(2017) 914-928.

 

 

 

 

Last Update: Sept. 30, 2019