A Levenberg–Marquardt Method for Nonlinear Complementarity Problems Based on Nonmonotone Trust Region and Line Search Techniques

Bin Fan; Changfeng Ma; Aidi Wu; Chao Wu

doi:10.1007/s00009-018-1168-y

A Levenberg–Marquardt Method for Nonlinear Complementarity Problems Based on Nonmonotone Trust Region and Line Search Techniques

Mediterranean Journal of Mathematics ◽

10.1007/s00009-018-1168-y ◽

2018 ◽

Vol 15 (3) ◽

Cited By ~ 1

Author(s):

Bin Fan ◽

Changfeng Ma ◽

Aidi Wu ◽

Chao Wu

Keyword(s):

Line Search ◽

Complementarity Problems ◽

Trust Region ◽

Nonlinear Complementarity Problems ◽

Search Techniques ◽

Nonlinear Complementarity ◽

Marquardt Method ◽

Levenberg Marquardt ◽

Line Search Techniques

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A nonmonotone Levenberg–Marquardt method for nonlinear complementarity problems under local error bound

Computational and Applied Mathematics ◽

10.1007/s40314-015-0222-7 ◽

2015 ◽

Vol 36 (1) ◽

pp. 185-202 ◽

Cited By ~ 1

Author(s):

Bin Fan

Keyword(s):

Error Bound ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Local Error ◽

Local Error Bound ◽

Nonlinear Complementarity ◽

Marquardt Method ◽

Levenberg Marquardt

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A smoothing Levenberg-Marquardt method for nonlinear complementarity problems

Numerical Algorithms ◽

10.1007/s11075-018-0485-3 ◽

2018 ◽

Vol 79 (4) ◽

pp. 1305-1321

Author(s):

Linsen Song ◽

Yan Gao

Keyword(s):

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Marquardt Method ◽

Levenberg Marquardt

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On the local convergence of a Levenberg-Marquardt method for nonsmooth nonlinear complementarity problems

ScienceAsia ◽

10.2306/scienceasia1513-1874.2017.43.377 ◽

2017 ◽

Vol 43 (6) ◽

pp. 377 ◽

Cited By ~ 1

Author(s):

Linsen Song ◽

Yan Gao

Keyword(s):

Local Convergence ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Marquardt Method ◽

Levenberg Marquardt

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Smoothing Levenberg–Marquardt method for general nonlinear complementarity problems under local error bound

Applied Mathematical Modelling ◽

10.1016/j.apm.2010.09.012 ◽

2011 ◽

Vol 35 (3) ◽

pp. 1337-1348 ◽

Cited By ~ 9

Author(s):

Haodong Yu ◽

Dingguo Pu

Keyword(s):

Error Bound ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Local Error ◽

Local Error Bound ◽

Nonlinear Complementarity ◽

Marquardt Method ◽

Levenberg Marquardt

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A new Filter-Levenberg–Marquardt method with disturbance for solving nonlinear complementarity problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.01.098 ◽

2010 ◽

Vol 216 (2) ◽

pp. 677-688 ◽

Cited By ~ 4

Author(s):

Jun Long ◽

Sanyun Zeng

Keyword(s):

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Marquardt Method ◽

Levenberg Marquardt

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Combining Trust Region and Line Search Techniques

Applied Optimization - Advances in Nonlinear Programming ◽

10.1007/978-1-4613-3335-7_7 ◽

1998 ◽

pp. 153-175 ◽

Cited By ~ 67

Author(s):

Jorge Nocedal ◽

Ya-xiang Yuan

Keyword(s):

Line Search ◽

Trust Region ◽

Search Techniques ◽

Line Search Techniques

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A robust algorithm for solving nonlinear system of equations using trust-region and line-search techniques

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2020.10028095 ◽

2020 ◽

Vol 11 (2) ◽

pp. 192

Author(s):

Muhammad Nomani Kabir

Keyword(s):

Nonlinear System ◽

Line Search ◽

Trust Region ◽

System Of Equations ◽

Nonlinear System Of Equations ◽

Robust Algorithm ◽

Search Techniques ◽

Line Search Techniques

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A smoothing Broyden-like method with a nonmonotone derivative-free line search for nonlinear complementarity problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.06.022 ◽

2015 ◽

Vol 290 ◽

pp. 641-655 ◽

Cited By ~ 4

Author(s):

Bin Fan

Keyword(s):

Line Search ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Derivative Free

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Two new Levenberg-Marquardt methods for nonsmooth nonlinear complementarity problems

ScienceAsia ◽

10.2306/scienceasia1513-1874.2014.40.089 ◽

2014 ◽

Vol 40 (1) ◽

pp. 89 ◽

Cited By ~ 2

Author(s):

Yuan-yuan Chen ◽

Yan Gao

Keyword(s):

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Levenberg Marquardt

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A New Smoothing Nonmonotone Trust Region Method for Solving Nonlinear Complementarity Problems

Proceedings of the 2nd International Conference on Computer Application and System Modeling ◽

10.2991/iccasm.2012.30 ◽

2012 ◽

Author(s):

Ying Ji ◽

Yijun Li

Keyword(s):

Complementarity Problems ◽

Trust Region Method ◽

Trust Region ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Region Method

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