research.gif (19100 bytes)
choices.gif (4488 bytes)

Yuying Li

Senior Research Associate

PhD Waterloo, 1988

My general research interests are in numerical optimization and scientific computation. In addition, I am interested in the application of optimization methods to medical, engineering, and economic problems.

My current interests include generalizing the trust region theory for unconstrained minimization to nonlinearly constrained minimization using an affine scaling and trust region minimization approach. My research focus is on both theoretical analysis and computational performance. On the application front, my current research is directed at developing efficient and reliable methods for medical imaging and optimal structural design problems.

li.tif (275096 bytes)


  • Interior point methods for nonlinear programming. Invited lecture. Nonlinear Programming cluster at DALLAS INFORMS. Oct. 26-29, 1997.

  • A trust region and affine scaling interior point method for nonlinear minimization with linear inequality constraints. Mathematical Programming, Switzerland, Aug. 1997.

  • Exploiting structure of large QPs arising in statistical learning theory. Applications of Large-Scale Optimization, 1998 SIAM Annual Meeting, Toronto, CA, July 13-24, 1998.


Combining trust region and affine scaling for linearly constrained nonconvex minimization. Advances in Nonlinear Programming (Y. Yuan, ed.) Kluwer Academic Publishers, (1998), 219-250 (with T. Coleman).