A globally and superlinearly convergent quasi-Newton method for general box constrained variational inequalities without smoothing approximation
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DOI: 10.1007/s10898-010-9629-2
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- 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.
- Liqun Qi, 1993. "Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations," Mathematics of Operations Research, INFORMS, vol. 18(1), pages 227-244, February.
- Dong-Hui Li & Masao Fukushima, 2001. "Globally Convergent Broyden-Like Methods for Semismooth Equations and Applications to VIP, NCP and MCP," Annals of Operations Research, Springer, vol. 103(1), pages 71-97, March.
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Keywords
General variational inequalities; Quasi-Newton method; Global convergence; Superlinear convergence;All these keywords.
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