SMOOTHING METHODS FOR COMPLEMENTARITY PROBLEMS AND THEIR APPLICATIONS : A SURVEY

By Xiaojun Chen. 2000

71 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e7a39cbe901c76451ebf512a226aa81fffa59b01

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Nobuo Yamashita
2. Rhoda P. Agdeppa
3. Masao Fukushima
4. Tetsuro Yamamoto
5. Xiaojun Chen
6. Jein-Shan Chen
7. Martin J. Wainwright
8. Mert Pilanci

In Control and Systems Engineering

1. Masao Fukushima
2. Rhoda P. Agdeppa
3. Nobuo Yamashita
4. Tetsuro Yamamoto
5. Xiaojun Chen

In Numerical Analysis

1. Masao Fukushima
2. Nobuo Yamashita
3. Rhoda P. Agdeppa
4. Tetsuro Yamamoto
5. Xiaojun Chen
6. Jein-Shan Chen
7. Martin J. Wainwright
8. Mert Pilanci

Citations in the corpus

• Historical developments in convergence analysis for Newton's and Newton-like methods (2000, background): “Reformulating problems (i)–(iii) to nonsmooth equations and global and superlinear convergence of algorithms for solving such nonsmooth equations can be found in the works of Chen [15], Qi [71], Qi–Sun [73], Pang [66], Pang–Qi [67], Qi–Chen [72], Robinson [79], Fukushima–Qi [35] and others.”
• The traffic equilibrium problem with nonadditive costs and its monotone mixed complementarity problem formulation (2007, methodology): “Those solution methods include the generalized Newton’s method (Jiang and Qi, 1997), the smoothing method (Chen, 2000) and the regularization method (Facchinei and Kanzow, 1999).”
• Smoothing methods for nonsmooth, nonconvex minimization (2012, background): “See [1,2,4–7,14,16–18,20,22,24–31,33,39,40,46–50,54,56–60,63,64, 66,70,72,73,81,82,88–92,94,97,103,104].”