Smoothing Newton algorithm based on a regularized one-parametric class
      of smoothing functions for generalized complementarity problems over
       symmetric cones

Xiao-Hong Liu;  ; Wei-Zhe Gu

doi:10.3934/jimo.2010.6.363

Smoothing Newton algorithm based on a regularized one-parametric class of smoothing functions for generalized complementarity problems over symmetric cones

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2010.6.363 ◽

2010 ◽

Vol 6 (2) ◽

pp. 363-380 ◽

Cited By ~ 7

Author(s):

Xiao-Hong Liu ◽

◽

Wei-Zhe Gu

Keyword(s):

Complementarity Problems ◽

Symmetric Cones ◽

Smoothing Newton Algorithm ◽

Newton Algorithm ◽

Generalized Complementarity Problems ◽

Smoothing Functions ◽

Parametric Class

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A smoothing Newton algorithm based on a one-parametric class of smoothing functions for linear programming over symmetric cones

Mathematical Methods of Operations Research ◽

10.1007/s00186-008-0274-1 ◽

2008 ◽

Vol 70 (2) ◽

pp. 385-404 ◽

Cited By ~ 15

Author(s):

Xiao-Hong Liu ◽

Zheng-Hai Huang

Keyword(s):

Linear Programming ◽

Symmetric Cones ◽

Smoothing Newton Algorithm ◽

Newton Algorithm ◽

Smoothing Functions ◽

Parametric Class

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Smoothing Newton algorithm for symmetric cone complementarity problems based on a one-parametric class of smoothing functions

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-009-0341-7 ◽

2009 ◽

Vol 35 (1-2) ◽

pp. 73-92 ◽

Cited By ~ 9

Author(s):

Tie Ni ◽

Wei-Zhe Gu

Keyword(s):

Complementarity Problems ◽

Symmetric Cone ◽

Smoothing Newton Algorithm ◽

Newton Algorithm ◽

Smoothing Functions ◽

Parametric Class

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A smoothing Newton algorithm for solving the monotone second-order cone complementarity problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-012-0550-3 ◽

2012 ◽

Vol 40 (1-2) ◽

pp. 45-61 ◽

Cited By ~ 5

Author(s):

Li Dong ◽

Jingyong Tang ◽

Jinchuan Zhou

Keyword(s):

Complementarity Problems ◽

Second Order ◽

Smoothing Newton Algorithm ◽

Newton Algorithm ◽

Second Order Cone

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A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems

Optimization Methods and Software ◽

10.1080/10556780902769862 ◽

2009 ◽

Vol 24 (3) ◽

pp. 447-460 ◽

Cited By ~ 25

Author(s):

Sheng-Long Hu ◽

Zheng-Hai Huang ◽

Ping Wang

Keyword(s):

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Smoothing Newton Algorithm ◽

Newton Algorithm ◽

Nonlinear Complementarity

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Smoothing Newton algorithm for linear programming over symmetric cones

Transactions of Tianjin University ◽

10.1007/s12209-009-0038-x ◽

2009 ◽

Vol 15 (3) ◽

pp. 216-221 ◽

Cited By ~ 2

Author(s):

Xiaohong Liu ◽

Tie Ni

Keyword(s):

Linear Programming ◽

Symmetric Cones ◽

Smoothing Newton Algorithm ◽

Newton Algorithm

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A Smoothing Newton Algorithm for a Class of Non-monotonic Symmetric Cone Linear Complementarity Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0436-z ◽

2013 ◽

Vol 161 (2) ◽

pp. 446-464 ◽

Cited By ~ 6

Author(s):

Nan Lu ◽

Zheng-Hai Huang

Keyword(s):

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Symmetric Cone ◽

Smoothing Newton Algorithm ◽

Newton Algorithm

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An application of H differentiability to generalized complementarity problems over symmetric cones

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.10.046 ◽

2012 ◽

Vol 63 (1) ◽

pp. 14-24

Author(s):

Jia Tang ◽

Changfeng Ma

Keyword(s):

Complementarity Problems ◽

Symmetric Cones ◽

Generalized Complementarity Problems

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A nonmonotone smoothing Newton algorithm for solving general box constrained variational inequalities

Optimization ◽

10.1080/02331934.2018.1467416 ◽

2018 ◽

Vol 67 (8) ◽

pp. 1231-1245

Author(s):

Na Zhao ◽

Tie Ni

Keyword(s):

Variational Inequalities ◽

Smoothing Newton Algorithm ◽

Newton Algorithm

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Smoothing functions and algorithm for nonsymmetric circular cone complementarity problems

10.21136/am.2021.0129-20 ◽

2021 ◽

pp. 1-23

Author(s):

Jingyong Tang ◽

Yuefen Chen

Keyword(s):

Complementarity Problems ◽

Circular Cone ◽

Smoothing Functions

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Iteration complexity of generalized complementarity problems

Journal of Inequalities and Applications ◽

10.1186/s13660-019-2024-8 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Salahuddin ◽

Meshari Alesemi

Keyword(s):

Complementarity Problems ◽

Iteration Complexity ◽

Generalized Complementarity Problems

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