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Yuying Li
Yuying Li
Research Associate
yuying@cs.cornell.edu
Ph.D. University of Waterloo, 1988
My general research interests are in numerical optimization and scientific computation. I am also interested in applying optimization techniques to solve real world engineering problems.
My current interests include generalizing the trust region theory for unconstrained minimization to nonlinearly constrained minimization. In particular, for nonlinearly constrained problems, there do not exist acceptance conditions for optimality. I have been investigating a new affine scaling trust region method for minimizing a nonlinear I (sub-1) function; including a trust region convergence analysis. The method can be used to solve a general nonlinearly constrained minimization problem using an exact penalty approach. An application of the new method has been considered for image enhancement problems.
Lectures
- An Interior and Trust Region Method for Nonlinear Minimization Subject to Bounds. 1993 Conference on Scientific and Engineering Computing for Chinese Young Scientists, Beijing, China, August 1994.
Publications
- A Globally Convergent Method for Lp Problems. SIAM Journal on Optimization, 3: 3 (1993), 609-629.
- Centering, Trust Region, Reflective Techniques for Nonlinear Minimization Subject to Bounds. Proceedings of 1993 Conference on Scientific and Engineering Computing for Chinese Young Scientists (1993), 241-246.
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Last modified: 9 November 1994 by Denise Moore
(denise@cs.cornell.edu).