Prof.  Gonglin  Yuan
Guangxi University,  China

Title: Several Algorithms for Optimization Problems

Abstract:

This report includes three main contents which are the algorithms for the unconstrained optimization problems, the nonlinear equations and nonsmooth optimization problems, respectively. (i) For content I, the quasi-Newton method with new quasi-Newton equation is given, the conjugate gradient methods with some good properties are proposed; (ii) For the nonlinear equations problems, a new line search technique is presented to analyzed and the nonlinear conjugate gradient methods are used to solve large-scale nonlinear equations problems; (iii) The last point is the nonsmooth optimization problems, the two-point-gradient method is given for small-scale problems and the conjugate gradient method are successful for large-scale problems.

Biography:

Gonglin Yuan obtained his Ph.D. degree from East China University of Sci. & Tech., Shanghai, China. Dr. Yuan served as Visiting Professor at University of Technology, Sydney, Australia. Currently, Dr. Yuan serves as Professor at the College of Mathematics and Information Science, Guangxi University, China. Dr. Yuan 's fields of interest include nonsmooth/smooth optimization algorithm, optimization algorithms for economics models and finance analysis.
At present, Dr. Yuan has published 35 SCI papers, the journals including Computing, Journal of Optimization Theory and Applications, Computational Optimization with Applications, Applied Mathematical Modelling, etc.. Dr. Yuan also get research grants by China Natural Science Funds (two terms), the Guangxi Natural Science Fund for Distinguished Young Scholars, and the Guangxi Natural Science Key Fund.