A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities

Liqun Qi; Defeng Sun; Guanglu Zhou

doi:10.1007/s101079900127

A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities

Mathematical Programming ◽

10.1007/s101079900127 ◽

2000 ◽

Vol 87 (1) ◽

pp. 1-35 ◽

Cited By ~ 255

Author(s):

Liqun Qi ◽

Defeng Sun ◽

Guanglu Zhou

Keyword(s):

Variational Inequalities ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Newton Methods ◽

Nonlinear Complementarity ◽

Smoothing Newton Methods ◽

New Look

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Improved smoothing Newton methods for nonlinear complementarity problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.04.088 ◽

2009 ◽

Vol 215 (1) ◽

pp. 324-332 ◽

Cited By ~ 11

Author(s):

Liping Zhang ◽

Soon-Yi Wu ◽

Tingran Gao

Keyword(s):

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Newton Methods ◽

Nonlinear Complementarity ◽

Smoothing Newton Methods

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Nonsmooth and Smoothing Methods for Nonlinear Complementarity Problems and Variational Inequalities, NSM

10.1007/springerreference_72539 ◽

2012 ◽

Keyword(s):

Variational Inequalities ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Smoothing Methods

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Nonsmooth and Smoothing Methods for Nonlinear Complementarity Problems and Variational Inequalities

Encyclopedia of Optimization ◽

10.1007/0-306-48332-7_350 ◽

2006 ◽

pp. 1770-1774 ◽

Cited By ~ 1

Author(s):

Liqun Qi ◽

Defeng Sun

Keyword(s):

Variational Inequalities ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Smoothing Methods

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Nonsmooth and Smoothing Methods for Nonlinear Complementarity Problems and Variational Inequalities

Encyclopedia of Optimization ◽

10.1007/978-0-387-74759-0_461 ◽

2008 ◽

pp. 2671-2675 ◽

Cited By ~ 1

Author(s):

Liqun Qi ◽

Defeng Sun

Keyword(s):

Variational Inequalities ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Smoothing Methods

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Exact penalties for variational inequalities with applications to nonlinear complementarity problems

Computational Optimization and Applications ◽

10.1007/s10589-008-9232-3 ◽

2009 ◽

Vol 47 (3) ◽

pp. 401-429 ◽

Cited By ~ 5

Author(s):

Thiago A. de André ◽

Paulo J. S. Silva

Keyword(s):

Variational Inequalities ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity

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Solution of Nonlinear Complementarity Problems with Inexact Newton Methods

2008 3rd International Conference on Innovative Computing Information and Control ◽

10.1109/icicic.2008.502 ◽

2008 ◽

Author(s):

Nataliya I. Kalashnykova ◽

Vyacheslav V. Kalashnikov ◽

Aaron ArÃ©valo Franco

Keyword(s):

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Newton Methods ◽

Inexact Newton Methods ◽

Nonlinear Complementarity

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Stability Analysis of Variational Inequalities and Nonlinear Complementarity Problems, via the Mixed Linear Complementarity Problem and Degree Theory

Mathematics of Operations Research ◽

10.1287/moor.19.4.831 ◽

1994 ◽

Vol 19 (4) ◽

pp. 831-879 ◽

Cited By ~ 37

Author(s):

M. Seetharama Gowda ◽

Jong-Shi Pang

Keyword(s):

Stability Analysis ◽

Variational Inequalities ◽

Linear Complementarity Problem ◽

Complementarity Problem ◽

Complementarity Problems ◽

Degree Theory ◽

Linear Complementarity ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

Mixed Linear Complementarity Problem

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On the local convergence of quasi-Newton methods for nonlinear complementarity problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(98)00080-4 ◽

1999 ◽

Vol 30 (1) ◽

pp. 3-22 ◽

Cited By ~ 5

Author(s):

Vera Lúcia Rocha Lopes ◽

José Mario Martı́nez ◽

Rosana Pérez

Keyword(s):

Local Convergence ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Newton Methods ◽

Nonlinear Complementarity ◽

Quasi Newton

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Sensitivity analysis for variational inequalities and nonlinear complementarity problems

Annals of Operations Research ◽

10.1007/bf02055194 ◽

1990 ◽

Vol 27 (1) ◽

pp. 143-173 ◽

Cited By ~ 20

Author(s):

Jerzy Kyparisis

Keyword(s):

Sensitivity Analysis ◽

Variational Inequalities ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity

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Binary NCP: a new approach for solving nonlinear complementarity problems

Journal of Mechanical Science and Technology ◽

10.1007/s12206-021-0229-5 ◽

2021 ◽

Vol 35 (3) ◽

pp. 1161-1166

Author(s):

Byung Man Kwak ◽

Joon Young Kwak

Keyword(s):

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

New Approach ◽

Nonlinear Complementarity

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