| Nonlinear optimization and numerical algebra:
Our main researches of this group are about computational methods for optimization, including the constructions of efficient numerical algorithms for optimization and
analyses on their theoretical properties. Currently, our research topics include conjugate gradient methods, trust region algorithms with limited memory and subspace
techniques, semi-definite programming, and filter methods. Attention will also be given to applications of computational methods to other scientific areas such as life science.
We also work on high-performance computational methods, including their convergence and computing complexity, for linear and nonlinear algebraic systems and numerical
methods for linear and nonlinear matrix eigenvalue problems. We are also interested in the applications of numerical algebra to the practical problems.
Prof. Ya-xiang Yuan
Prof. Zhong-zhi Bai