Predictor-Corrector Smoothing Newton Method, Based on a New Smoothing Function, for Solving the Nonlinear Complementarity Problem with a P 0 Function
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DOI: 10.1023/A:1023648305969
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References listed on IDEAS
- Masakazu Kojima & Nimrod Megiddo & Toshihito Noma, 1991. "Homotopy Continuation Methods for Nonlinear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 16(4), pages 754-774, November.
- James V. Burke & Song Xu, 1998. "The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 719-734, August.
- M. Seetharama Gowda & Roman Sznajder, 1999. "Weak Univalence and Connectedness of Inverse Images of Continuous Functions," Mathematics of Operations Research, INFORMS, vol. 24(1), pages 255-261, February.
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Cited by:
- Tang, Jingyong & Zhou, Jinchuan & Fang, Liang, 2015. "A non-monotone regularization Newton method for the second-order cone complementarity problem," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 743-756.
- Liqun Qi & Zheng-Hai Huang, 2019. "Tensor Complementarity Problems—Part II: Solution Methods," Journal of Optimization Theory and Applications, Springer, vol. 183(2), pages 365-385, November.
- Changfeng Ma, 2010. "A new smoothing and regularization Newton method for P 0 -NCP," Journal of Global Optimization, Springer, vol. 48(2), pages 241-261, October.
- Jingyong Tang & Jinchuan Zhou, 2021. "Quadratic convergence analysis of a nonmonotone Levenberg–Marquardt type method for the weighted nonlinear complementarity problem," Computational Optimization and Applications, Springer, vol. 80(1), pages 213-244, September.
- Bilian Chen & Changfeng Ma, 2011. "A new smoothing Broyden-like method for solving nonlinear complementarity problem with a P 0 -function," Journal of Global Optimization, Springer, vol. 51(3), pages 473-495, November.
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Keywords
Nonlinear complementarity problems; boundedness of iteration sequence; predictor-corrector smoothing Newton method; global linear convergence; local superlinear convergence;All these keywords.
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