Jinyan Fan
Department of Mathematics
Shanghai JiaoTong University
Shanghai 200240, P.R. China
Tel: 86-21-54743145(O)
Email: jyfan_at_sjtu.edu.cn  
Education | Research Interests | Experience | Selected Publications
Education:
Ph.D:
Institute of Computational Mathematics and Scientific/Engineering Computing
Academy of Mathematics and System Sciences
Chinese Academy of Sciences
Supervior: Professor Yaxiang Yuan

Research Interests:
Operations research
Optimization theories and applications
Applied mathematics and scientific/engineering computing
Numerical methods for singular perturbation systems

Experience:
Visitor at Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 2004.7 - 2004.8.

Selected Publications:
J.Y. Fan, Generalized separation theorems and farkas lemma, Applied Mathematics Letters, (7) 18 (2005), 791--796.
J.Y. Fan and Y.X. Yuan, On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption, Computing, (1) 74 (2005), 23--39.
P.Y. Nie and J.Y. Fan, A derivative-free filter method for solving nonlinear complementarity problems, Applied Mathematics and Computation, 161 (2005), 787--797.
J.Y. Fan and J.Y. Pan, Inexact Levenberg--Marquardt method for nonlinear equations, Discrete Continuous Dynamical System-Series B, (4) 4 (2004), 1223--1232.
J.Y. Fan, Wenbao Ai and Qunying Zhang, A line search and trust region algorithm with trust region radius coverging to zero, Journal of Computational Mathematics, (6) 22 (2004), 865--872
J.Y. Fan, A modified Levenberg--Marquardt algorithm for singular system of nonlinear equations, Journal of Computational Mathematics, (5) 21 (2003), 625--636.
P.Y. Nie and J.Y. Fan, A class of fuzzy system of nonlinear equations and its solutions, Mathematica Applicata, Supp. 15 (2002), 173--177 (in Chinese).
J.Y. Fan and Y.X. Yuan, A new trust region algorithm with trust region radius converging to zero, Peoceedings of the 5th International Conference on Optimization: Techniques and Applications, 2001, HongKong, pp. 786--794
S.J. Yan and J.Y. Fan, The solution set of the mixed least squares and total least squares problem, International Journal of Computer Mathematics, (4) 77 (2001), 545--561.

      Last modified : Dec. 25, 2004,   by J.Y. Fan